151476960 has 192 divisors, whose sum is σ = 502951680. Its totient is φ = 38277120.

The previous prime is 151476931. The next prime is 151476961. The reversal of 151476960 is 69674151.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151476961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846151 + ... + 846329.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^151476960 is an apocalyptic number.

151476960 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 151476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

151476960 is an abundant number, since it is smaller than the sum of its proper divisors (351474720).

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

151476960 is a wasteful number, since it uses less digits than its factorization.

151476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 151476960 is about 12307.5976534822. The cubic root of 151476960 is about 533.0674855619.

The spelling of 151476960 in words is "one hundred fifty-one million, four hundred seventy-six thousand, nine hundred sixty".