132761921510400 has 3168 divisors, whose sum is σ = 562876947444672. Its totient is φ = 27348959232000.

The previous prime is 132761921510389. The next prime is 132761921510417. The reversal of 132761921510400 is 4015129167231.

It is a super-2 number, since 2×132761921510400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 479284915062 + ... + 479284915338.

Almost surely, 2^{132761921510400} is an apocalyptic number.

132761921510400 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 132761921510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281438473722336).

132761921510400 is an abundant number, since it is smaller than the sum of its proper divisors (430115025934272).

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

132761921510400 is a wasteful number, since it uses less digits than its factorization.

132761921510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 132761921510400 in words is "one hundred thirty-two trillion, seven hundred sixty-one billion, nine hundred twenty-one million, five hundred ten thousand, four hundred".