151381664 has 48 divisors (see below), whose sum is σ = 358545600. Its totient is φ = 61461504.

The previous prime is 151381639. The next prime is 151381709. The reversal of 151381664 is 466183151.

It is a congruent number.

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, 13529 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (7469700).

Almost surely, 2^151381664 is an apocalyptic number.

151381664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151381664 is an abundant number, since it is smaller than the sum of its proper divisors (207163936).

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

151381664 is a wasteful number, since it uses less digits than its factorization.

151381664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35605 (or 35597 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 151381664 is about 12303.7256146258. The cubic root of 151381664 is about 532.9556756963.

The spelling of 151381664 in words is "one hundred fifty-one million, three hundred eighty-one thousand, six hundred sixty-four".