137631835440 has 960 divisors, whose sum is σ = 559370448000. Its totient is φ = 29933568000.

The previous prime is 137631835427. The next prime is 137631835463. The reversal of 137631835440 is 44538136731.

137631835440 is a `hidden beast` number, since 1 + 3 + 7 + 631 + 8 + 3 + 5 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×137631835440³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 394360386 + ... + 394360734.

It is an arithmetic number, because the mean of its divisors is an integer number (582677550).

Almost surely, 2^137631835440 is an apocalyptic number.

137631835440 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 137631835440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279685224000).

137631835440 is an abundant number, since it is smaller than the sum of its proper divisors (421738612560).

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

137631835440 is a wasteful number, since it uses less digits than its factorization.

137631835440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 137631835440 in words is "one hundred thirty-seven billion, six hundred thirty-one million, eight hundred thirty-five thousand, four hundred forty".