152555400 has 288 divisors, whose sum is σ = 551110560. Its totient is φ = 39191040.

The previous prime is 152555393. The next prime is 152555401. The reversal of 152555400 is 4555251.

152555400 is a `hidden beast` number, since 1 + 5 + 255 + 5 + 400 = 666.

152555400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (152555401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2089764 + ... + 2089836.

Almost surely, 2^152555400 is an apocalyptic number.

152555400 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 152555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275555280).

152555400 is an abundant number, since it is smaller than the sum of its proper divisors (398555160).

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

152555400 is a wasteful number, since it uses less digits than its factorization.

152555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 152555400 is about 12351.3319119842. The cubic root of 152555400 is about 534.3295529217.

The spelling of 152555400 in words is "one hundred fifty-two million, five hundred fifty-five thousand, four hundred".