152861904 has 200 divisors, whose sum is σ = 489850592. Its totient is φ = 45722880.

The previous prime is 152861903. The next prime is 152861923. The reversal of 152861904 is 409168251.

152861904 is a `hidden beast` number, since 15 + 28 + 619 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152861903) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 724359 + ... + 724569.

Almost surely, 2^152861904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152861904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244925296).

152861904 is an abundant number, since it is smaller than the sum of its proper divisors (336988688).

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

152861904 is a wasteful number, since it uses less digits than its factorization.

152861904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152861904 is about 12363.7334167314. The cubic root of 152861904 is about 534.6871598112.

The spelling of 152861904 in words is "one hundred fifty-two million, eight hundred sixty-one thousand, nine hundred four".