155904943104 has 231 divisors, whose sum is σ = 468297411897. Its totient is φ = 51854598144.

The previous prime is 155904943069. The next prime is 155904943141. The reversal of 155904943104 is 401349409551.

The square root of 155904943104 is 394848.

It is a perfect power (a square), and thus also a powerful number.

155904943104 is a `hidden beast` number, since 1 + 5 + 59 + 0 + 494 + 3 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134835840000 + 21069103104 = 367200^2 + 145152^2 .

It is a super-2 number, since 2×155904943104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 155904943104.

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 20 ways as a sum of consecutive naturals, for example, 341148444 + ... + 341148900.

Almost surely, 2^155904943104 is an apocalyptic number.

155904943104 is the 394848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155904943104

155904943104 is an abundant number, since it is smaller than the sum of its proper divisors (312392468793).

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

155904943104 is an frugal number, since it uses more digits than its factorization.

155904943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 155904943104 in words is "one hundred fifty-five billion, nine hundred four million, nine hundred forty-three thousand, one hundred four".