152693320 has 128 divisors (see below), whose sum is σ = 409328640. Its totient is φ = 50688000.

The previous prime is 152693293. The next prime is 152693341. The reversal of 152693320 is 23396251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202945 + ... + 203695.

It is an arithmetic number, because the mean of its divisors is an integer number (3197880).

Almost surely, 2^152693320 is an apocalyptic number.

152693320 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 152693320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204664320).

152693320 is an abundant number, since it is smaller than the sum of its proper divisors (256635320).

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

152693320 is a wasteful number, since it uses less digits than its factorization.

152693320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 152693320 is about 12356.9138541951. The cubic root of 152693320 is about 534.4905273061.

The spelling of 152693320 in words is "one hundred fifty-two million, six hundred ninety-three thousand, three hundred twenty".