152414990 has 96 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 47416320.

The previous prime is 152414989. The next prime is 152415019. The reversal of 152414990 is 99414251.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 152414990.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452102 + ... + 452438.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2^152414990 is an apocalyptic number.

152414990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152414990 is an abundant number, since it is smaller than the sum of its proper divisors (197147314).

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

152414990 is a wasteful number, since it uses less digits than its factorization.

152414990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 152414990 is about 12345.6466011303. The cubic root of 152414990 is about 534.1655726196.

The spelling of 152414990 in words is "one hundred fifty-two million, four hundred fourteen thousand, nine hundred ninety".