137240377344 has 576 divisors, whose sum is σ = 478348416000. Its totient is φ = 37059821568.

The previous prime is 137240377333. The next prime is 137240377381. The reversal of 137240377344 is 443773042731.

137240377344 is a `hidden beast` number, since 1 + 3 + 7 + 240 + 377 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 137240377344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305657632 + ... + 305658080.

It is an arithmetic number, because the mean of its divisors is an integer number (830466000).

Almost surely, 2^137240377344 is an apocalyptic number.

137240377344 is a gapful number since it is divisible by the number (14) 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 137240377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239174208000).

137240377344 is an abundant number, since it is smaller than the sum of its proper divisors (341108038656).

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

137240377344 is a wasteful number, since it uses less digits than its factorization.

137240377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 137240377344 in words is "one hundred thirty-seven billion, two hundred forty million, three hundred seventy-seven thousand, three hundred forty-four".