156129840 has 240 divisors, whose sum is σ = 562330080. Its totient is φ = 38707200.

The previous prime is 156129839. The next prime is 156129847. The reversal of 156129840 is 48921651.

156129840 is a `hidden beast` number, since 1 + 561 + 2 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 156129795 and 156129804.

It is not an unprimeable number, because it can be changed into a prime (156129847) 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, 1381624 + ... + 1381736.

It is an arithmetic number, because the mean of its divisors is an integer number (2343042).

Almost surely, 2^156129840 is an apocalyptic number.

156129840 is a gapful number since it is divisible by the number (10) 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 156129840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281165040).

156129840 is an abundant number, since it is smaller than the sum of its proper divisors (406200240).

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

156129840 is a wasteful number, since it uses less digits than its factorization.

156129840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 156129840 is about 12495.1926755853. The cubic root of 156129840 is about 538.4705694351.

It can be divided in two parts, 15612 and 9840, that added together give a palindrome (25452).

The spelling of 156129840 in words is "one hundred fifty-six million, one hundred twenty-nine thousand, eight hundred forty".