152505920 has 112 divisors (see below), whose sum is σ = 419697408. Its totient is φ = 51701760.

The previous prime is 152505919. The next prime is 152505931. The reversal of 152505920 is 29505251.

It is a tau number, because it is divible by the number of its divisors (112).

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, 230390 + ... + 231050.

Almost surely, 2^152505920 is an apocalyptic number.

152505920 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 152505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209848704).

152505920 is an abundant number, since it is smaller than the sum of its proper divisors (267191488).

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

152505920 is a wasteful number, since it uses less digits than its factorization.

152505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 152505920 is about 12349.3287266960. The cubic root of 152505920 is about 534.2717783139.

The spelling of 152505920 in words is "one hundred fifty-two million, five hundred five thousand, nine hundred twenty".