155656080 has 280 divisors, whose sum is σ = 578179512. Its totient is φ = 38817792.

The previous prime is 155656027. The next prime is 155656093. The reversal of 155656080 is 80656551.

155656080 is a `hidden beast` number, since 15 + 5 + 6 + 560 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 136048896 = 4428^2 + 11664^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 991362 + ... + 991518.

Almost surely, 2^155656080 is an apocalyptic number.

155656080 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 155656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289089756).

155656080 is an abundant number, since it is smaller than the sum of its proper divisors (422523432).

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

155656080 is a wasteful number, since it uses less digits than its factorization.

155656080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 155656080 is about 12476.2205815704. The cubic root of 155656080 is about 537.9253730275.

The spelling of 155656080 in words is "one hundred fifty-five million, six hundred fifty-six thousand, eighty".