137360468736 has 180 divisors, whose sum is σ = 409902431400. Its totient is φ = 45751246848.

The previous prime is 137360468731. The next prime is 137360468747. The reversal of 137360468736 is 637864063731.

137360468736 is a `hidden beast` number, since 137 + 360 + 46 + 87 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137360468731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52647400 + ... + 52650008.

It is an arithmetic number, because the mean of its divisors is an integer number (2277235730).

Almost surely, 2^137360468736 is an apocalyptic number.

137360468736 is a gapful number since it is divisible by the number (16) 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 137360468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204951215700).

137360468736 is an abundant number, since it is smaller than the sum of its proper divisors (272541962664).

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

137360468736 is an equidigital number, since it uses as much as digits as its factorization.

137360468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 137360468736 in words is "one hundred thirty-seven billion, three hundred sixty million, four hundred sixty-eight thousand, seven hundred thirty-six".