152002656 has 180 divisors, whose sum is σ = 485463132. Its totient is φ = 46635264.

The previous prime is 152002651. The next prime is 152002657. The reversal of 152002656 is 656200251.

152002656 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 2 + 656 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152002651) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437875 + ... + 438221.

Almost surely, 2^152002656 is an apocalyptic number.

152002656 is a gapful number since it is divisible by the number (16) 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 152002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242731566).

152002656 is an abundant number, since it is smaller than the sum of its proper divisors (333460476).

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

152002656 is a wasteful number, since it uses less digits than its factorization.

152002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 365 counting only the distinct ones).

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

The square root of 152002656 is about 12328.9357204910. The cubic root of 152002656 is about 533.6834381801.

The spelling of 152002656 in words is "one hundred fifty-two million, two thousand, six hundred fifty-six".