152920638720 has 648 divisors, whose sum is σ = 557587910880. Its totient is φ = 40176414720.

The previous prime is 152920638707. The next prime is 152920638721. The reversal of 152920638720 is 27836029251.

152920638720 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 2 + 0 + 638 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152920638721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1100148411 + ... + 1100148549.

Almost surely, 2^152920638720 is an apocalyptic number.

152920638720 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 152920638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278793955440).

152920638720 is an abundant number, since it is smaller than the sum of its proper divisors (404667272160).

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

152920638720 is an frugal number, since it uses more digits than its factorization.

152920638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 152920638720 in words is "one hundred fifty-two billion, nine hundred twenty million, six hundred thirty-eight thousand, seven hundred twenty".