132670137600 has 2592 divisors, whose sum is σ = 667907251200. Its totient is φ = 25015910400.

The previous prime is 132670137583. The next prime is 132670137617. The reversal of 132670137600 is 6731076231.

132670137600 is a `hidden beast` number, since 1 + 32 + 6 + 7 + 0 + 13 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (132670137583) and next prime (132670137617).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2248646371 + ... + 2248646429.

Almost surely, 2^132670137600 is an apocalyptic number.

132670137600 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 132670137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333953625600).

132670137600 is an abundant number, since it is smaller than the sum of its proper divisors (535237113600).

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

132670137600 is a wasteful number, since it uses less digits than its factorization.

132670137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 132670137600 in words is "one hundred thirty-two billion, six hundred seventy million, one hundred thirty-seven thousand, six hundred".