152313760 has 48 divisors (see below), whose sum is σ = 362313000. Its totient is φ = 60507136.

The previous prime is 152313737. The next prime is 152313769. The reversal of 152313760 is 67313251.

It can be written as a sum of positive squares in 4 ways, for example, as 37994896 + 114318864 = 6164^2 + 10692^2 .

It is not an unprimeable number, because it can be changed into a prime (152313769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20646 + ... + 27034.

Almost surely, 2^152313760 is an apocalyptic number.

152313760 is a gapful number since it is divisible by the number (10) 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 152313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181156500).

152313760 is an abundant number, since it is smaller than the sum of its proper divisors (209999240).

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

152313760 is a wasteful number, since it uses less digits than its factorization.

152313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 152313760 is about 12341.5460943919. The cubic root of 152313760 is about 534.0472868859.

The spelling of 152313760 in words is "one hundred fifty-two million, three hundred thirteen thousand, seven hundred sixty".