152015052 has 72 divisors (see below), whose sum is σ = 414602496. Its totient is φ = 43223712.

The previous prime is 152015033. The next prime is 152015053. The reversal of 152015052 is 250510251.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (152015053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154153 + ... + 155135.

It is an arithmetic number, because the mean of its divisors is an integer number (5758368).

Almost surely, 2^152015052 is an apocalyptic number.

152015052 is a gapful number since it is divisible by the number (12) 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 152015052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207301248).

152015052 is an abundant number, since it is smaller than the sum of its proper divisors (262587444).

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

152015052 is a wasteful number, since it uses less digits than its factorization.

152015052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 152015052 is about 12329.4384300340. The cubic root of 152015052 is about 533.6979452952.

The spelling of 152015052 in words is "one hundred fifty-two million, fifteen thousand, fifty-two".