156418560 has 320 divisors, whose sum is σ = 581391360. Its totient is φ = 39813120.

The previous prime is 156418543. The next prime is 156418601. The reversal of 156418560 is 65814651.

156418560 is a `hidden beast` number, since 1 + 5 + 641 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142684 + ... + 2142756.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^156418560 is an apocalyptic number.

156418560 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 156418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290695680).

156418560 is an abundant number, since it is smaller than the sum of its proper divisors (424972800).

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

156418560 is an equidigital number, since it uses as much as digits as its factorization.

156418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 156418560 is about 12506.7405825819. The cubic root of 156418560 is about 538.8022837092.

The spelling of 156418560 in words is "one hundred fifty-six million, four hundred eighteen thousand, five hundred sixty".