137671248132 has 96 divisors (see below), whose sum is σ = 390779840640. Its totient is φ = 41567852160.

The previous prime is 137671248061. The next prime is 137671248139. The reversal of 137671248132 is 231842176731.

137671248132 is a `hidden beast` number, since 1 + 3 + 76 + 71 + 2 + 481 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (137671248139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119898 + ... + 538254.

It is an arithmetic number, because the mean of its divisors is an integer number (4070623340).

Almost surely, 2^137671248132 is an apocalyptic number.

137671248132 is a gapful number since it is divisible by the number (12) 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 137671248132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195389920320).

137671248132 is an abundant number, since it is smaller than the sum of its proper divisors (253108592508).

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

137671248132 is a wasteful number, since it uses less digits than its factorization.

137671248132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418658 (or 418650 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 137671248132 in words is "one hundred thirty-seven billion, six hundred seventy-one million, two hundred forty-eight thousand, one hundred thirty-two".