152532464 has 80 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 62584320.

The previous prime is 152532439. The next prime is 152532467. The reversal of 152532464 is 464235251.

It is a super-2 number, since 2×152532464² = 46532305147822592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152532464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152532467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270647 + ... + 271209.

It is an arithmetic number, because the mean of its divisors is an integer number (4405968).

Almost surely, 2^152532464 is an apocalyptic number.

152532464 is a gapful number since it is divisible by the number (14) 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 152532464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

152532464 is an abundant number, since it is smaller than the sum of its proper divisors (199944976).

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

152532464 is a wasteful number, since it uses less digits than its factorization.

152532464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 152532464 is about 12350.4033942216. The cubic root of 152532464 is about 534.3027735859.

The spelling of 152532464 in words is "one hundred fifty-two million, five hundred thirty-two thousand, four hundred sixty-four".