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149859072 = 28361173
BaseRepresentation
bin10001110111010…
…10101100000000
3101102222122000000
420323222230000
5301330442242
622512000000
73466531626
oct1073525400
9342878000
10149859072
1177656380
1242230000
132507ca0c
1415c8d516
15d252a4c
hex8eeab00

149859072 has 252 divisors, whose sum is σ = 495968424. Its totient is φ = 44789760.

The previous prime is 149859071. The next prime is 149859089. The reversal of 149859072 is 270958941.

149859072 is a `hidden beast` number, since 1 + 498 + 5 + 90 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (149859071) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052828 + ... + 2052900.

Almost surely, 2149859072 is an apocalyptic number.

149859072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149859072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984212).

149859072 is an abundant number, since it is smaller than the sum of its proper divisors (346109352).

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

149859072 is an frugal number, since it uses more digits than its factorization.

149859072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 149859072 is about 12241.6940004233. The cubic root of 149859072 is about 531.1628342895.

The spelling of 149859072 in words is "one hundred forty-nine million, eight hundred fifty-nine thousand, seventy-two".