152993880 has 256 divisors, whose sum is σ = 582422400. Its totient is φ = 35389440.

The previous prime is 152993873. The next prime is 152993921. The reversal of 152993880 is 88399251.

It is a happy number.

152993880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238360 + ... + 239000.

Almost surely, 2^152993880 is an apocalyptic number.

152993880 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 152993880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291211200).

152993880 is an abundant number, since it is smaller than the sum of its proper divisors (429428520).

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

152993880 is a wasteful number, since it uses less digits than its factorization.

152993880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 152993880 is about 12369.0694880415. The cubic root of 152993880 is about 534.8409927205.

The spelling of 152993880 in words is "one hundred fifty-two million, nine hundred ninety-three thousand, eight hundred eighty".