137742684240 has 320 divisors, whose sum is σ = 515278448640. Its totient is φ = 29734594560.

The previous prime is 137742684239. The next prime is 137742684301. The reversal of 137742684240 is 42486247731.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137742684240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10559002 + ... + 10572038.

It is an arithmetic number, because the mean of its divisors is an integer number (1610245152).

Almost surely, 2^137742684240 is an apocalyptic number.

137742684240 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 137742684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257639224320).

137742684240 is an abundant number, since it is smaller than the sum of its proper divisors (377535764400).

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

137742684240 is a wasteful number, since it uses less digits than its factorization.

137742684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13410 (or 13404 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 137742684240 in words is "one hundred thirty-seven billion, seven hundred forty-two million, six hundred eighty-four thousand, two hundred forty".