151630080 has 144 divisors (see below), whose sum is σ = 553547904. Its totient is φ = 34652160.

The previous prime is 151630069. The next prime is 151630103. The reversal of 151630080 is 80036151.

151630080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151630080.

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, 24060 + ... + 29700.

Almost surely, 2^151630080 is an apocalyptic number.

151630080 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 151630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276773952).

151630080 is an abundant number, since it is smaller than the sum of its proper divisors (401917824).

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

151630080 is an equidigital number, since it uses as much as digits as its factorization.

151630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5658 counting only the distinct ones).

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

The square root of 151630080 is about 12313.8166301111. The cubic root of 151630080 is about 533.2470415946.

The spelling of 151630080 in words is "one hundred fifty-one million, six hundred thirty thousand, eighty".