137361235968 has 896 divisors, whose sum is σ = 487495169280. Its totient is φ = 38220595200.

The previous prime is 137361235961. The next prime is 137361235981. The reversal of 137361235968 is 869532163731.

137361235968 is a `hidden beast` number, since 1 + 3 + 7 + 36 + 12 + 3 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137361235961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3350274028 + ... + 3350274068.

It is an arithmetic number, because the mean of its divisors is an integer number (544079430).

Almost surely, 2^137361235968 is an apocalyptic number.

137361235968 is a gapful number since it is divisible by the number (18) 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 137361235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243747584640).

137361235968 is an abundant number, since it is smaller than the sum of its proper divisors (350133933312).

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

137361235968 is an frugal number, since it uses more digits than its factorization.

137361235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 137361235968 in words is "one hundred thirty-seven billion, three hundred sixty-one million, two hundred thirty-five thousand, nine hundred sixty-eight".