152404560 has 240 divisors, whose sum is σ = 638352000. Its totient is φ = 31656960.

The previous prime is 152404531. The next prime is 152404583. The reversal of 152404560 is 65404251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54066 + ... + 56814.

It is an arithmetic number, because the mean of its divisors is an integer number (2659800).

Almost surely, 2^152404560 is an apocalyptic number.

152404560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152404560 is the 10080-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176000).

152404560 is an abundant number, since it is smaller than the sum of its proper divisors (485947440).

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

152404560 is a wasteful number, since it uses less digits than its factorization.

152404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152404560 is about 12345.2241777944. The cubic root of 152404560 is about 534.1533877420.

The spelling of 152404560 in words is "one hundred fifty-two million, four hundred four thousand, five hundred sixty".