151664640 has 96 divisors (see below), whose sum is σ = 485306640. Its totient is φ = 40435712.

The previous prime is 151664609. The next prime is 151664651. The reversal of 151664640 is 46466151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28252 + ... + 33188.

Almost surely, 2^151664640 is an apocalyptic number.

151664640 is a gapful number since it is divisible by the number (10) 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 151664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242653320).

151664640 is an abundant number, since it is smaller than the sum of its proper divisors (333642000).

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

151664640 is an equidigital number, since it uses as much as digits as its factorization.

151664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 151664640 is about 12315.2198518743. The cubic root of 151664640 is about 533.2875516257.

The spelling of 151664640 in words is "one hundred fifty-one million, six hundred sixty-four thousand, six hundred forty".