132153628976160 has 576 divisors, whose sum is σ = 479532075329664. Its totient is φ = 30335577292800.

The previous prime is 132153628976153. The next prime is 132153628976233. The reversal of 132153628976160 is 61679826351231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 132153628976094 and 132153628976103.

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, 3966535822 + ... + 3966569138.

It is an arithmetic number, because the mean of its divisors is an integer number (832520964114).

Almost surely, 2^{132153628976160} is an apocalyptic number.

132153628976160 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 132153628976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239766037664832).

132153628976160 is an abundant number, since it is smaller than the sum of its proper divisors (347378446353504).

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

132153628976160 is a wasteful number, since it uses less digits than its factorization.

132153628976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35465 (or 35438 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 132153628976160 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, six hundred twenty-eight million, nine hundred seventy-six thousand, one hundred sixty".