152764920 has 384 divisors, whose sum is σ = 643507200. Its totient is φ = 31553280.

The previous prime is 152764901. The next prime is 152764957. The reversal of 152764920 is 29467251.

152764920 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914677 + ... + 914843.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^152764920 is an apocalyptic number.

152764920 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 152764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

152764920 is an abundant number, since it is smaller than the sum of its proper divisors (490742280).

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

152764920 is a wasteful number, since it uses less digits than its factorization.

152764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152764920 is about 12359.8106781617. The cubic root of 152764920 is about 534.5740575736.

The spelling of 152764920 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, nine hundred twenty".