137049180992640 has 2560 divisors, whose sum is σ = 601108496271360. Its totient is φ = 29097339125760.

The previous prime is 137049180992639. The next prime is 137049180992641. The reversal of 137049180992640 is 46299081940731.

137049180992640 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 491 + 80 + 9 + 9 + 2 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137049180992639) and next prime (137049180992641).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137049180992641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25872978472 + ... + 25872983768.

It is an arithmetic number, because the mean of its divisors is an integer number (234808006356).

Almost surely, 2^{137049180992640} is an apocalyptic number.

137049180992640 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 137049180992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300554248135680).

137049180992640 is an abundant number, since it is smaller than the sum of its proper divisors (464059315278720).

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

137049180992640 is a wasteful number, since it uses less digits than its factorization.

137049180992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 137049180992640 in words is "one hundred thirty-seven trillion, forty-nine billion, one hundred eighty million, nine hundred ninety-two thousand, six hundred forty".