137261345740704 has 96 divisors (see below), whose sum is σ = 400362926523840. Its totient is φ = 45751800796416.

The previous prime is 137261345740669. The next prime is 137261345740723. The reversal of 137261345740704 is 407047543162731.

It is a happy number.

137261345740704 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 61 + 3 + 4 + 574 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×137261345740704⁴ (a number of 58 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16593619 + ... + 23449325.

It is an arithmetic number, because the mean of its divisors is an integer number (4170447151290).

Almost surely, 2^{137261345740704} is an apocalyptic number.

It is an amenable number.

137261345740704 is an abundant number, since it is smaller than the sum of its proper divisors (263101580783136).

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

137261345740704 is a wasteful number, since it uses less digits than its factorization.

137261345740704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878899 (or 6878885 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 137261345740704 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty thousand, seven hundred four".