152395056 has 240 divisors, whose sum is σ = 501396480. Its totient is φ = 42746880.

The previous prime is 152395049. The next prime is 152395069. The reversal of 152395056 is 650593251.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152395056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712260 + ... + 1712348.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^152395056 is an apocalyptic number.

152395056 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 152395056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

152395056 is an abundant number, since it is smaller than the sum of its proper divisors (349001424).

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

152395056 is a wasteful number, since it uses less digits than its factorization.

152395056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 152395056 is about 12344.8392456119. The cubic root of 152395056 is about 534.1422841824.

The spelling of 152395056 in words is "one hundred fifty-two million, three hundred ninety-five thousand, fifty-six".