137797632000 has 1088 divisors, whose sum is σ = 588875788800. Its totient is φ = 31142707200.

The previous prime is 137797631989. The next prime is 137797632043. The reversal of 137797632000 is 236797731.

137797632000 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 7 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548287956 + ... + 1548288044.

Almost surely, 2^137797632000 is an apocalyptic number.

137797632000 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 137797632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294437894400).

137797632000 is an abundant number, since it is smaller than the sum of its proper divisors (451078156800).

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

137797632000 is an frugal number, since it uses more digits than its factorization.

137797632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 137797632000 in words is "one hundred thirty-seven billion, seven hundred ninety-seven million, six hundred thirty-two thousand".