155528100 has 360 divisors, whose sum is σ = 623446208. Its totient is φ = 32659200.

The previous prime is 155528099. The next prime is 155528111. The reversal of 155528100 is 1825551.

155528100 is a `hidden beast` number, since 1 + 5 + 552 + 8 + 100 = 666.

It is a super-2 number, since 2×155528100² = 48377979779220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 736995 + ... + 737205.

Almost surely, 2^155528100 is an apocalyptic number.

155528100 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 155528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311723104).

155528100 is an abundant number, since it is smaller than the sum of its proper divisors (467918108).

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

155528100 is a wasteful number, since it uses less digits than its factorization.

155528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 155528100 is about 12471.0905697938. The cubic root of 155528100 is about 537.7779056847. Note that the first 3 decimals are identical.

The spelling of 155528100 in words is "one hundred fifty-five million, five hundred twenty-eight thousand, one hundred".