137839242240 has 2112 divisors, whose sum is σ = 643773312000. Its totient is φ = 28092137472.

The previous prime is 137839242227. The next prime is 137839242263. The reversal of 137839242240 is 42242938731.

137839242240 is a `hidden beast` number, since 1 + 37 + 8 + 392 + 4 + 224 + 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 191 ways as a sum of consecutive naturals, for example, 7254696951 + ... + 7254696969.

Almost surely, 2^137839242240 is an apocalyptic number.

137839242240 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 137839242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321886656000).

137839242240 is an abundant number, since it is smaller than the sum of its proper divisors (505934069760).

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

137839242240 is an equidigital number, since it uses as much as digits as its factorization.

137839242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137839242240 in words is "one hundred thirty-seven billion, eight hundred thirty-nine million, two hundred forty-two thousand, two hundred forty".