152265888 has 144 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 47900160.

The previous prime is 152265877. The next prime is 152265899. The reversal of 152265888 is 888562251.

It is an interprime number because it is at equal distance from previous prime (152265877) and next prime (152265899).

It is a tau number, because it is divible by the number of its divisors (144).

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, 841158 + ... + 841338.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2^152265888 is an apocalyptic number.

152265888 is a gapful number since it is divisible by the number (18) 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 152265888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

152265888 is an abundant number, since it is smaller than the sum of its proper divisors (305640288).

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

152265888 is a wasteful number, since it uses less digits than its factorization.

152265888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 152265888 is about 12339.6064767074. The cubic root of 152265888 is about 533.9913309202.

The spelling of 152265888 in words is "one hundred fifty-two million, two hundred sixty-five thousand, eight hundred eighty-eight".