152115264 has 168 divisors, whose sum is σ = 514795008. Its totient is φ = 42024960.

The previous prime is 152115263. The next prime is 152115317. The reversal of 152115264 is 462511251.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (152115263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124384 + ... + 125600.

It is an arithmetic number, because the mean of its divisors is an integer number (3064256).

Almost surely, 2^152115264 is an apocalyptic number.

152115264 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 152115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257397504).

152115264 is an abundant number, since it is smaller than the sum of its proper divisors (362679744).

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

152115264 is a wasteful number, since it uses less digits than its factorization.

152115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1260 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 152115264 is about 12333.5016925446. The cubic root of 152115264 is about 533.8151950668.

The spelling of 152115264 in words is "one hundred fifty-two million, one hundred fifteen thousand, two hundred sixty-four".