152152128 has 112 divisors (see below), whose sum is σ = 450616320. Its totient is φ = 50342400.

The previous prime is 152152111. The next prime is 152152139. The reversal of 152152128 is 821251251.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329818 + ... + 330278.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^152152128 is an apocalyptic number.

152152128 is a gapful number since it is divisible by the number (18) 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 152152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

152152128 is an abundant number, since it is smaller than the sum of its proper divisors (298464192).

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

152152128 is a wasteful number, since it uses less digits than its factorization.

152152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 152152128 is about 12334.9960680983. The cubic root of 152152128 is about 533.8583136279.

The spelling of 152152128 in words is "one hundred fifty-two million, one hundred fifty-two thousand, one hundred twenty-eight".