132629189861376 has 1344 divisors, whose sum is σ = 448381410527232. Its totient is φ = 38869134999552.

The previous prime is 132629189861351. The next prime is 132629189861393. The reversal of 132629189861376 is 673168981926231.

132629189861376 is a `hidden beast` number, since 1 + 3 + 26 + 2 + 91 + 8 + 98 + 61 + 376 = 666.

It is a super-2 number, since 2×132629189861376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263676321541 + ... + 263676322043.

It is an arithmetic number, because the mean of its divisors is an integer number (333617120928).

Almost surely, 2^{132629189861376} is an apocalyptic number.

132629189861376 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 132629189861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224190705263616).

132629189861376 is an abundant number, since it is smaller than the sum of its proper divisors (315752220665856).

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

132629189861376 is an equidigital number, since it uses as much as digits as its factorization.

132629189861376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 987 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 132629189861376 in words is "one hundred thirty-two trillion, six hundred twenty-nine billion, one hundred eighty-nine million, eight hundred sixty-one thousand, three hundred seventy-six".