151664000 has 64 divisors (see below), whose sum is σ = 377114400. Its totient is φ = 60659200.

The previous prime is 151663973. The next prime is 151664003. The reversal of 151664000 is 466151.

151664000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151664003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11261 + ... + 20739.

Almost surely, 2^151664000 is an apocalyptic number.

151664000 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 151664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188557200).

151664000 is an abundant number, since it is smaller than the sum of its proper divisors (225450400).

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

151664000 is an frugal number, since it uses more digits than its factorization.

151664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 151664000 is about 12315.1938677392. The cubic root of 151664000 is about 533.2868014959.

The spelling of 151664000 in words is "one hundred fifty-one million, six hundred sixty-four thousand".