137913330240 has 896 divisors, whose sum is σ = 572780160000. Its totient is φ = 31224324096.

The previous prime is 137913330239. The next prime is 137913330259. The reversal of 137913330240 is 42033319731.

It is a happy number.

137913330240 is a `hidden beast` number, since 1 + 3 + 79 + 13 + 330 + 240 = 666.

137913330240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137913330195 and 137913330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 512688826 + ... + 512689094.

Almost surely, 2^137913330240 is an apocalyptic number.

137913330240 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 137913330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286390080000).

137913330240 is an abundant number, since it is smaller than the sum of its proper divisors (434866829760).

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

137913330240 is a wasteful number, since it uses less digits than its factorization.

137913330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 137913330240 its reverse (42033319731), we get a palindrome (179946649971).

The spelling of 137913330240 in words is "one hundred thirty-seven billion, nine hundred thirteen million, three hundred thirty thousand, two hundred forty".