152668980 has 72 divisors (see below), whose sum is σ = 464373000. Its totient is φ = 40599552.

The previous prime is 152668939. The next prime is 152668981. The reversal of 152668980 is 89866251.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 132848676 = 4452^2 + 11526^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152668981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79876 + ... + 81764.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^152668980 is an apocalyptic number.

152668980 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 152668980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232186500).

152668980 is an abundant number, since it is smaller than the sum of its proper divisors (311704020).

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

152668980 is a wasteful number, since it uses less digits than its factorization.

152668980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 152668980 is about 12355.9289412007. The cubic root of 152668980 is about 534.4621257345.

The spelling of 152668980 in words is "one hundred fifty-two million, six hundred sixty-eight thousand, nine hundred eighty".