132653513125600 has 288 divisors, whose sum is σ = 329047514611200. Its totient is φ = 52216190208000.

The previous prime is 132653513125517. The next prime is 132653513125633. The reversal of 132653513125600 is 6521315356231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9853184469 + ... + 9853197931.

It is an arithmetic number, because the mean of its divisors is an integer number (1142526092400).

Almost surely, 2^{132653513125600} is an apocalyptic number.

132653513125600 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 132653513125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164523757305600).

132653513125600 is an abundant number, since it is smaller than the sum of its proper divisors (196394001485600).

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

132653513125600 is a wasteful number, since it uses less digits than its factorization.

132653513125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14394 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The spelling of 132653513125600 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirteen million, one hundred twenty-five thousand, six hundred".