151270080 has 448 divisors, whose sum is σ = 589897728. Its totient is φ = 32440320.

The previous prime is 151270079. The next prime is 151270123. The reversal of 151270080 is 80072151.

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 151270080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4879665 + ... + 4879695.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^151270080 is an apocalyptic number.

151270080 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 151270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864).

151270080 is an abundant number, since it is smaller than the sum of its proper divisors (438627648).

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

151270080 is a wasteful number, since it uses less digits than its factorization.

151270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 151270080 is about 12299.1902172460. The cubic root of 151270080 is about 532.8246956242.

The spelling of 151270080 in words is "one hundred fifty-one million, two hundred seventy thousand, eighty".