156407120 has 40 divisors (see below), whose sum is σ = 364295880. Its totient is φ = 62451200.

The previous prime is 156407113. The next prime is 156407137. The reversal of 156407120 is 21704651.

It can be written as a sum of positive squares in 4 ways, for example, as 48330304 + 108076816 = 6952^2 + 10396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 156407120.

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, 54686 + ... + 57474.

It is an arithmetic number, because the mean of its divisors is an integer number (9107397).

Almost surely, 2^156407120 is an apocalyptic number.

156407120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156407120 is an abundant number, since it is smaller than the sum of its proper divisors (207888760).

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

156407120 is a wasteful number, since it uses less digits than its factorization.

156407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 156407120 is about 12506.2832208454. The cubic root of 156407120 is about 538.7891479099.

The spelling of 156407120 in words is "one hundred fifty-six million, four hundred seven thousand, one hundred twenty".