152972820 has 384 divisors, whose sum is σ = 641249280. Its totient is φ = 29237760.

The previous prime is 152972789. The next prime is 152972821. The reversal of 152972820 is 28279251.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152972821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540399 + ... + 540681.

It is an arithmetic number, because the mean of its divisors is an integer number (1669920).

Almost surely, 2^152972820 is an apocalyptic number.

152972820 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 152972820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320624640).

152972820 is an abundant number, since it is smaller than the sum of its proper divisors (488276460).

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

152972820 is a wasteful number, since it uses less digits than its factorization.

152972820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152972820 is about 12368.2181416726. The cubic root of 152972820 is about 534.8164508496.

The spelling of 152972820 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, eight hundred twenty".