152315520 has 192 divisors, whose sum is σ = 565120800. Its totient is φ = 34793472.

The previous prime is 152315509. The next prime is 152315531. The reversal of 152315520 is 25513251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152315509) and next prime (152315531).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93271 + ... + 94889.

Almost surely, 2^152315520 is an apocalyptic number.

152315520 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 152315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282560400).

152315520 is an abundant number, since it is smaller than the sum of its proper divisors (412805280).

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

152315520 is a wasteful number, since it uses less digits than its factorization.

152315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152315520 is about 12341.6173980561. The cubic root of 152315520 is about 534.0493438671.

Adding to 152315520 its reverse (25513251), we get a palindrome (177828771).

The spelling of 152315520 in words is "one hundred fifty-two million, three hundred fifteen thousand, five hundred twenty".