152401088 has 56 divisors (see below), whose sum is σ = 347910912. Its totient is φ = 64882944.

The previous prime is 152401069. The next prime is 152401091. The reversal of 152401088 is 880104251.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 152401088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71981 + ... + 74067.

Almost surely, 2^152401088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173955456).

152401088 is an abundant number, since it is smaller than the sum of its proper divisors (195509824).

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

152401088 is a wasteful number, since it uses less digits than its factorization.

152401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 152401088 is about 12345.0835558128. The cubic root of 152401088 is about 534.1493314446.

The spelling of 152401088 in words is "one hundred fifty-two million, four hundred one thousand, eighty-eight".