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137242864 = 24115314713
BaseRepresentation
bin10000010111000…
…10100011110000
3100120020122211001
420023202203300
5240113232424
621341331344
73254354653
oct1013424360
9316218731
10137242864
1170519660
1239b66b54
13225833c5
141432789a
15c0ae844
hex82e28f0

137242864 has 40 divisors (see below), whose sum is σ = 295574832. Its totient is φ = 61201920.

The previous prime is 137242837. The next prime is 137242939. The reversal of 137242864 is 468242731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972 + ... + 16684.

Almost surely, 2137242864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147787416).

137242864 is an abundant number, since it is smaller than the sum of its proper divisors (158331968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137242864 is a wasteful number, since it uses less digits than its factorization.

137242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785 (or 14779 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 137242864 is about 11715.0699528428. The cubic root of 137242864 is about 515.8181158927.

The spelling of 137242864 in words is "one hundred thirty-seven million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 14713 29426 58852 117704 161843 235408 323686 647372 779789 1294744 1559578 2589488 3119156 6238312 8577679 12476624 17155358 34310716 68621432 137242864