151001664 has 224 divisors, whose sum is σ = 474024960. Its totient is φ = 41932800.

The previous prime is 151001663. The next prime is 151001671. The reversal of 151001664 is 466100151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (151001663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126749 + ... + 2126819.

Almost surely, 2^151001664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237012480).

151001664 is an abundant number, since it is smaller than the sum of its proper divisors (323023296).

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

151001664 is a wasteful number, since it uses less digits than its factorization.

151001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 151001664 is about 12288.2734344577. The cubic root of 151001664 is about 532.5093582080.

The spelling of 151001664 in words is "one hundred fifty-one million, one thousand, six hundred sixty-four".