152032520 has 64 divisors (see below), whose sum is σ = 352883520. Its totient is φ = 58915584.

The previous prime is 152032499. The next prime is 152032541. The reversal of 152032520 is 25230251.

It is an interprime number because it is at equal distance from previous prime (152032499) and next prime (152032541).

It is a super-2 number, since 2×152032520² = 46227774275100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

152032520 is a modest number, since divided by 32520 gives 1520 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 152032492 and 152032501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269759 + ... + 270321.

It is an arithmetic number, because the mean of its divisors is an integer number (5513805).

Almost surely, 2^152032520 is an apocalyptic number.

152032520 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 152032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176441760).

152032520 is an abundant number, since it is smaller than the sum of its proper divisors (200851000).

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

152032520 is a wasteful number, since it uses less digits than its factorization.

152032520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 152032520 is about 12330.1467955576. The cubic root of 152032520 is about 533.7183868645.

Adding to 152032520 its reverse (25230251), we get a palindrome (177262771).

The spelling of 152032520 in words is "one hundred fifty-two million, thirty-two thousand, five hundred twenty".