132152857654608 has 600 divisors, whose sum is σ = 446287381690920. Its totient is φ = 37643464212480.

The previous prime is 132152857654583. The next prime is 132152857654619. The reversal of 132152857654608 is 806456758251231.

132152857654608 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 2 + 8 + 576 + 54 + 6 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53050987584 + 132099806667024 = 230328^2 + 11493468^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32865667638 + ... + 32865671658.

Almost surely, 2^{132152857654608} is an apocalyptic number.

132152857654608 is a gapful number since it is divisible by the number (18) 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 132152857654608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223143690845460).

132152857654608 is an abundant number, since it is smaller than the sum of its proper divisors (314134524036312).

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

132152857654608 is a wasteful number, since it uses less digits than its factorization.

132152857654608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 132152857654608 in words is "one hundred thirty-two trillion, one hundred fifty-two billion, eight hundred fifty-seven million, six hundred fifty-four thousand, six hundred eight".