152814096 has 60 divisors (see below), whose sum is σ = 431861248. Its totient is φ = 50438592.

The previous prime is 152814031. The next prime is 152814113. The reversal of 152814096 is 690418251.

152814096 is a `hidden beast` number, since 1 + 528 + 1 + 40 + 96 = 666.

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 152814096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9681 + ... + 19983.

Almost surely, 2^152814096 is an apocalyptic number.

152814096 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 152814096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215930624).

152814096 is an abundant number, since it is smaller than the sum of its proper divisors (279047152).

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

152814096 is a wasteful number, since it uses less digits than its factorization.

152814096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10420 (or 10411 counting only the distinct ones).

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

The square root of 152814096 is about 12361.7998689511. The cubic root of 152814096 is about 534.6314123502.

The spelling of 152814096 in words is "one hundred fifty-two million, eight hundred fourteen thousand, ninety-six".