152903640 has 128 divisors (see below), whose sum is σ = 486720000. Its totient is φ = 38320128.

The previous prime is 152903629. The next prime is 152903669. The reversal of 152903640 is 46309251.

152903640 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 152903598 and 152903607.

It is a congruent number.

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, 453552 + ... + 453888.

It is an arithmetic number, because the mean of its divisors is an integer number (3802500).

Almost surely, 2^152903640 is an apocalyptic number.

152903640 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 152903640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243360000).

152903640 is an abundant number, since it is smaller than the sum of its proper divisors (333816360).

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

152903640 is a wasteful number, since it uses less digits than its factorization.

152903640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 152903640 is about 12365.4211412309. The cubic root of 152903640 is about 534.7358173949.

The spelling of 152903640 in words is "one hundred fifty-two million, nine hundred three thousand, six hundred forty".