152740767009600 has 3528 divisors, whose sum is σ = 721096821992448. Its totient is φ = 31471972761600.

The previous prime is 152740767009559. The next prime is 152740767009629. The reversal of 152740767009600 is 6900767047251.

152740767009600 is a `hidden beast` number, since 1 + 5 + 27 + 4 + 0 + 7 + 6 + 7 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 79843578244 + ... + 79843580156.

Almost surely, 2^{152740767009600} is an apocalyptic number.

152740767009600 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 152740767009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360548410996224).

152740767009600 is an abundant number, since it is smaller than the sum of its proper divisors (568356054982848).

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

152740767009600 is a wasteful number, since it uses less digits than its factorization.

152740767009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 152740767009600 in words is "one hundred fifty-two trillion, seven hundred forty billion, seven hundred sixty-seven million, nine thousand, six hundred".