152362980 has 144 divisors (see below), whose sum is σ = 576261504. Its totient is φ = 31656960.

The previous prime is 152362967. The next prime is 152362981. The reversal of 152362980 is 89263251.

152362980 is a `hidden beast` number, since 1 + 5 + 23 + 629 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152362981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8364 + ... + 19356.

It is an arithmetic number, because the mean of its divisors is an integer number (4001816).

Almost surely, 2^152362980 is an apocalyptic number.

152362980 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 152362980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288130752).

152362980 is an abundant number, since it is smaller than the sum of its proper divisors (423898524).

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

152362980 is a wasteful number, since it uses less digits than its factorization.

152362980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 152362980 is about 12343.5400108721. The cubic root of 152362980 is about 534.1048062603.

The spelling of 152362980 in words is "one hundred fifty-two million, three hundred sixty-two thousand, nine hundred eighty".