155251760400 has 675 divisors, whose sum is σ = 615537310773. Its totient is φ = 37447660800.

The previous prime is 155251760383. The next prime is 155251760431. The reversal of 155251760400 is 4067152551.

The square root of 155251760400 is 394020.

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

155251760400 is a `hidden beast` number, since 1 + 552 + 5 + 1 + 7 + 60 + 40 + 0 = 666.

155251760400 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 only one way, i.e., 55890633744 + 99361126656 = 236412^2 + 315216^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 780159501 + ... + 780159699.

Almost surely, 2^155251760400 is an apocalyptic number.

155251760400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155251760400 is the 394020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155251760400

155251760400 is an abundant number, since it is smaller than the sum of its proper divisors (460285550373).

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

155251760400 is a wasteful number, since it uses less digits than its factorization.

155251760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 155251760400 by its sum of digits (36), we get a square (5589063374400 = 2364120²).

155251760400 divided by its sum of digits (36) gives a square (4312548900 = 65670²).

The spelling of 155251760400 in words is "one hundred fifty-five billion, two hundred fifty-one million, seven hundred sixty thousand, four hundred".