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152500149 = 32174092437
BaseRepresentation
bin10010001011011…
…11011110110101
3101121221210212200
421011233132311
5303020001044
623044335113
73531141564
oct1105573665
9347853780
10152500149
117909a68a
12430a4499
1325795b99
1416379bdb
15d5c5369
hex916f7b5

152500149 has 24 divisors (see below), whose sum is σ = 233901720. Its totient is φ = 95413248.

The previous prime is 152500147. The next prime is 152500151. The reversal of 152500149 is 941005251.

152500149 is a `hidden beast` number, since 15 + 2 + 500 + 149 = 666.

It is an interprime number because it is at equal distance from previous prime (152500147) and next prime (152500151).

It can be written as a sum of positive squares in 4 ways, for example, as 115412049 + 37088100 = 10743^2 + 6090^2 .

It is not a de Polignac number, because 152500149 - 21 = 152500147 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152500147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61359 + ... + 63795.

It is an arithmetic number, because the mean of its divisors is an integer number (9745905).

Almost surely, 2152500149 is an apocalyptic number.

It is an amenable number.

152500149 is a deficient number, since it is larger than the sum of its proper divisors (81401571).

152500149 is a wasteful number, since it uses less digits than its factorization.

152500149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152500149 is about 12349.0950680607. The cubic root of 152500149 is about 534.2650390754.

The spelling of 152500149 in words is "one hundred fifty-two million, five hundred thousand, one hundred forty-nine".

Divisors: 1 3 9 17 51 153 409 1227 2437 3681 6953 7311 20859 21933 41429 62577 124287 372861 996733 2990199 8970597 16944461 50833383 152500149