152897536 has 72 divisors (see below), whose sum is σ = 336584430. Its totient is φ = 69386240.

The previous prime is 152897531. The next prime is 152897561. The reversal of 152897536 is 635798251.

It can be written as a sum of positive squares in only one way, i.e., 151782400 + 1115136 = 12320^2 + 1056^2 .

Its product of digits (453600) is a multiple of the sum of its prime divisors (630).

It is not an unprimeable number, because it can be changed into a prime (152897531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247500 + ... + 248116.

Almost surely, 2^152897536 is an apocalyptic number.

152897536 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 152897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168292215).

152897536 is an abundant number, since it is smaller than the sum of its proper divisors (183686894).

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

152897536 is an equidigital number, since it uses as much as digits as its factorization.

152897536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 630 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 152897536 is about 12365.1743214562. The cubic root of 152897536 is about 534.7287016479.

The spelling of 152897536 in words is "one hundred fifty-two million, eight hundred ninety-seven thousand, five hundred thirty-six".