151952080 has 80 divisors (see below), whose sum is σ = 416830464. Its totient is φ = 50411520.

The previous prime is 151952077. The next prime is 151952107. The reversal of 151952080 is 80259151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12984 + ... + 21736.

Almost surely, 2^151952080 is an apocalyptic number.

151952080 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 151952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208415232).

151952080 is an abundant number, since it is smaller than the sum of its proper divisors (264878384).

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

151952080 is a wasteful number, since it uses less digits than its factorization.

151952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 151952080 is about 12326.8844401171. The cubic root of 151952080 is about 533.6242406010.

The spelling of 151952080 in words is "one hundred fifty-one million, nine hundred fifty-two thousand, eighty".