152990320 has 80 divisors (see below), whose sum is σ = 408634560. Its totient is φ = 52180992.

The previous prime is 152990317. The next prime is 152990323. The reversal of 152990320 is 23099251.

It is an interprime number because it is at equal distance from previous prime (152990317) and next prime (152990323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152990323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127644 + ... + 128836.

It is an arithmetic number, because the mean of its divisors is an integer number (5107932).

Almost surely, 2^152990320 is an apocalyptic number.

152990320 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 152990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204317280).

152990320 is an abundant number, since it is smaller than the sum of its proper divisors (255644240).

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

152990320 is a wasteful number, since it uses less digits than its factorization.

152990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 152990320 is about 12368.9255798553. The cubic root of 152990320 is about 534.8368443003.

The spelling of 152990320 in words is "one hundred fifty-two million, nine hundred ninety thousand, three hundred twenty".