152380322640 has 480 divisors, whose sum is σ = 638486634240. Its totient is φ = 31709159424.

The previous prime is 152380322609. The next prime is 152380322659. The reversal of 152380322640 is 46223083251.

152380322640 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 8 + 0 + 3 + 2 + 2 + 640 = 666.

152380322640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 152380322595 and 152380322604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4767031 + ... + 4798889.

It is an arithmetic number, because the mean of its divisors is an integer number (1330180488).

Almost surely, 2^152380322640 is an apocalyptic number.

152380322640 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 152380322640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319243317120).

152380322640 is an abundant number, since it is smaller than the sum of its proper divisors (486106311600).

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

152380322640 is a wasteful number, since it uses less digits than its factorization.

152380322640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31971 (or 31962 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 152380322640 in words is "one hundred fifty-two billion, three hundred eighty million, three hundred twenty-two thousand, six hundred forty".