152813840 has 80 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 57328128.

The previous prime is 152813839. The next prime is 152813861. The reversal of 152813840 is 48318251.

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

It is a junction number, because it is equal to n+sod(n) for n = 152813797 and 152813806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96737 + ... + 98303.

Almost surely, 2^152813840 is an apocalyptic number.

152813840 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 152813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

152813840 is an abundant number, since it is smaller than the sum of its proper divisors (225161968).

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

152813840 is a wasteful number, since it uses less digits than its factorization.

152813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 152813840 is about 12361.7895144676. The cubic root of 152813840 is about 534.6311138051.

The spelling of 152813840 in words is "one hundred fifty-two million, eight hundred thirteen thousand, eight hundred forty".