152313984 has 96 divisors (see below), whose sum is σ = 442685100. Its totient is φ = 50264064.

The previous prime is 152313979. The next prime is 152313991. The reversal of 152313984 is 489313251.

It can be written as a sum of positive squares in 2 ways, for example, as 146894400 + 5419584 = 12120^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 124962 + ... + 126174.

Almost surely, 2^152313984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221342550).

152313984 is an abundant number, since it is smaller than the sum of its proper divisors (290371116).

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

152313984 is a wasteful number, since it uses less digits than its factorization.

152313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1327 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 152313984 is about 12341.5551694266. Note that the first 3 decimals coincide. The cubic root of 152313984 is about 534.0475486844.

The spelling of 152313984 in words is "one hundred fifty-two million, three hundred thirteen thousand, nine hundred eighty-four".