152982720 has 252 divisors, whose sum is σ = 579699120. Its totient is φ = 37002240.

The previous prime is 152982719. The next prime is 152982749. The reversal of 152982720 is 27289251.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348261 + ... + 348699.

Almost surely, 2^152982720 is an apocalyptic number.

152982720 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 152982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289849560).

152982720 is an abundant number, since it is smaller than the sum of its proper divisors (426716400).

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

152982720 is a wasteful number, since it uses less digits than its factorization.

152982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

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

The square root of 152982720 is about 12368.6183545293. The cubic root of 152982720 is about 534.8279879071.

The spelling of 152982720 in words is "one hundred fifty-two million, nine hundred eighty-two thousand, seven hundred twenty".