151180480 has 112 divisors (see below), whose sum is σ = 406542240. Its totient is φ = 53043200.

The previous prime is 151180457. The next prime is 151180487. The reversal of 151180480 is 84081151.

It is not an unprimeable number, because it can be changed into a prime (151180487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101340 + ... + 102820.

Almost surely, 2^151180480 is an apocalyptic number.

151180480 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 151180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203271120).

151180480 is an abundant number, since it is smaller than the sum of its proper divisors (255361760).

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

151180480 is a wasteful number, since it uses less digits than its factorization.

151180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 151180480 is about 12295.5471614727. The cubic root of 151180480 is about 532.7194742836.

The spelling of 151180480 in words is "one hundred fifty-one million, one hundred eighty thousand, four hundred eighty".