152047296 has 126 divisors (see below), whose sum is σ = 456501500. Its totient is φ = 48381696.

The previous prime is 152047289. The next prime is 152047327. The reversal of 152047296 is 692740251.

152047296 is a `hidden beast` number, since 1 + 520 + 47 + 2 + 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 152047296.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304455 + ... + 304953.

Almost surely, 2^152047296 is an apocalyptic number.

152047296 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 152047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228250750).

152047296 is an abundant number, since it is smaller than the sum of its proper divisors (304454204).

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

152047296 is a wasteful number, since it uses less digits than its factorization.

152047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152047296 is about 12330.7459628361. The cubic root of 152047296 is about 533.7356769535.

It can be divided in two parts, 15204 and 7296, that added together give a square (22500 = 150²).

The spelling of 152047296 in words is "one hundred fifty-two million, forty-seven thousand, two hundred ninety-six".