155456718400 has 63 divisors (see below), whose sum is σ = 382559498659. Its totient is φ = 62176378880.

The previous prime is 155456718383. The next prime is 155456718401. The reversal of 155456718400 is 4817654551.

The square root of 155456718400 is 394280.

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

155456718400 is digitally balanced in base 3, 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 4 ways, for example, as 11445576256 + 144011142144 = 106984^2 + 379488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155456718401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15766272 + ... + 15776128.

Almost surely, 2^155456718400 is an apocalyptic number.

155456718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155456718400 is the 394280-th square number.

It is an amenable number.

155456718400 is an abundant number, since it is smaller than the sum of its proper divisors (227102780259).

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

155456718400 is an frugal number, since it uses more digits than its factorization.

155456718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19736 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 155456718400 in words is "one hundred fifty-five billion, four hundred fifty-six million, seven hundred eighteen thousand, four hundred".