156957840 has 240 divisors, whose sum is σ = 582931440. Its totient is φ = 37601280.

The previous prime is 156957839. The next prime is 156957847. The reversal of 156957840 is 48759651.

156957840 is a `hidden beast` number, since 1 + 569 + 5 + 7 + 84 + 0 = 666.

156957840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14107536 + 142850304 = 3756^2 + 11952^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156957847) 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, 383556 + ... + 383964.

It is an arithmetic number, because the mean of its divisors is an integer number (2428881).

Almost surely, 2^156957840 is an apocalyptic number.

156957840 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 156957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291465720).

156957840 is an abundant number, since it is smaller than the sum of its proper divisors (425973600).

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

156957840 is a wasteful number, since it uses less digits than its factorization.

156957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 156957840 is about 12528.2816060304. The cubic root of 156957840 is about 539.4207781065.

The spelling of 156957840 in words is "one hundred fifty-six million, nine hundred fifty-seven thousand, eight hundred forty".