137631882240 has 880 divisors, whose sum is σ = 527299863552. Its totient is φ = 34247245824.

The previous prime is 137631882239. The next prime is 137631882329. The reversal of 137631882240 is 42288136731.

137631882240 is a `hidden beast` number, since 1 + 3 + 7 + 631 + 8 + 8 + 2 + 2 + 4 + 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448312167 + ... + 448312473.

Almost surely, 2^137631882240 is an apocalyptic number.

137631882240 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 137631882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263649931776).

137631882240 is an abundant number, since it is smaller than the sum of its proper divisors (389667981312).

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

137631882240 is a wasteful number, since it uses less digits than its factorization.

137631882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 137631882240 in words is "one hundred thirty-seven billion, six hundred thirty-one million, eight hundred eighty-two thousand, two hundred forty".