151870080 has 128 divisors (see below), whose sum is σ = 490432320. Its totient is φ = 39968768.

The previous prime is 151870073. The next prime is 151870091. The reversal of 151870080 is 80078151.

151870080 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 158884 + ... + 159836.

Almost surely, 2^151870080 is an apocalyptic number.

151870080 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 151870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245216160).

151870080 is an abundant number, since it is smaller than the sum of its proper divisors (338562240).

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

151870080 is an equidigital number, since it uses as much as digits as its factorization.

151870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 151870080 is about 12323.5579278064. The cubic root of 151870080 is about 533.5282343224.

The spelling of 151870080 in words is "one hundred fifty-one million, eight hundred seventy thousand, eighty".