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156385152 = 27327114143
BaseRepresentation
bin10010101001000…
…11111110000000
3101220021012002200
421110203332000
5310013311102
623303513200
73606152250
oct1124437600
9356235080
10156385152
1180303530
1244458800
13265262c1
1416aab960
15dae151c
hex9523f80

156385152 has 384 divisors, whose sum is σ = 588107520. Its totient is φ = 38707200.

The previous prime is 156385127. The next prime is 156385153. The reversal of 156385152 is 251583651.

It is a happy number.

156385152 is a `hidden beast` number, since 1 + 5 + 638 + 5 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156385153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3636843 + ... + 3636885.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2156385152 is an apocalyptic number.

156385152 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 156385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294053760).

156385152 is an abundant number, since it is smaller than the sum of its proper divisors (431722368).

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

156385152 is a wasteful number, since it uses less digits than its factorization.

156385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 156385152 is about 12505.4049114773. The cubic root of 156385152 is about 538.7639217050.

The spelling of 156385152 in words is "one hundred fifty-six million, three hundred eighty-five thousand, one hundred fifty-two".