132701990438656 has 216 divisors, whose sum is σ = 287599893265440. Its totient is φ = 61075879428096.

The previous prime is 132701990438629. The next prime is 132701990438729. The reversal of 132701990438656 is 656834099107231.

It is a super-2 number, since 2×132701990438656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242951805 + ... + 1243058563.

It is an arithmetic number, because the mean of its divisors is an integer number (1331480987340).

It is a 2-persistent number, because it is pandigital, and so is 2⋅132701990438656 = 265403980877312, but 3⋅132701990438656 = 398105971315968 is not.

Almost surely, 2^{132701990438656} is an apocalyptic number.

132701990438656 is a gapful number since it is divisible by the number (16) 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 132701990438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143799946632720).

132701990438656 is an abundant number, since it is smaller than the sum of its proper divisors (154897902826784).

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

132701990438656 is a wasteful number, since it uses less digits than its factorization.

132701990438656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107179 (or 107148 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 132701990438656 in words is "one hundred thirty-two trillion, seven hundred one billion, nine hundred ninety million, four hundred thirty-eight thousand, six hundred fifty-six".