155660400 has 480 divisors, whose sum is σ = 664243200. Its totient is φ = 33868800.

The previous prime is 155660399. The next prime is 155660423. The reversal of 155660400 is 4066551.

It is a happy number.

155660400 is a `hidden beast` number, since 1 + 5 + 56 + 604 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2192365 + ... + 2192435.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 2^155660400 is an apocalyptic number.

155660400 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 155660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332121600).

155660400 is an abundant number, since it is smaller than the sum of its proper divisors (508582800).

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

155660400 is a wasteful number, since it uses less digits than its factorization.

155660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 155660400 is about 12476.3937097224. The cubic root of 155660400 is about 537.9303494176.

The spelling of 155660400 in words is "one hundred fifty-five million, six hundred sixty thousand, four hundred".