151884960 has 96 divisors (see below), whose sum is σ = 482993280. Its totient is φ = 40117248.

The previous prime is 151884899. The next prime is 151884961. The reversal of 151884960 is 69488151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (151884961) 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, 50869 + ... + 53771.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2^151884960 is an apocalyptic number.

151884960 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 151884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

151884960 is an abundant number, since it is smaller than the sum of its proper divisors (331108320).

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

151884960 is a wasteful number, since it uses less digits than its factorization.

151884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 151884960 is about 12324.1616347726. The cubic root of 151884960 is about 533.5456585156.

The spelling of 151884960 in words is "one hundred fifty-one million, eight hundred eighty-four thousand, nine hundred sixty".