152946560 has 128 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 54558720.

The previous prime is 152946539. The next prime is 152946583. The reversal of 152946560 is 65649251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 257624 + ... + 258216.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^152946560 is an apocalyptic number.

152946560 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 152946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

152946560 is an abundant number, since it is smaller than the sum of its proper divisors (254204800).

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

152946560 is a wasteful number, since it uses less digits than its factorization.

152946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 152946560 is about 12367.1565042252. The cubic root of 152946560 is about 534.7858461018.

The spelling of 152946560 in words is "one hundred fifty-two million, nine hundred forty-six thousand, five hundred sixty".