151413664 has 24 divisors (see below), whose sum is σ = 305030880. Its totient is φ = 73945536.

The previous prime is 151413637. The next prime is 151413671. The reversal of 151413664 is 466314151.

151413664 is nontrivially palindromic in base 7.

It is a super-3 number, since 3×151413664³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53644 + ... + 56395.

It is an arithmetic number, because the mean of its divisors is an integer number (12709620).

Almost surely, 2^151413664 is an apocalyptic number.

It is an amenable number.

151413664 is an abundant number, since it is smaller than the sum of its proper divisors (153617216).

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

151413664 is a wasteful number, since it uses less digits than its factorization.

151413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110092 (or 110084 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 151413664 is about 12305.0259650275. The cubic root of 151413664 is about 532.9932262151.

The spelling of 151413664 in words is "one hundred fifty-one million, four hundred thirteen thousand, six hundred sixty-four".