137261345741151 has 16 divisors (see below), whose sum is σ = 193782565926144. Its totient is φ = 86123947054464.

The previous prime is 137261345741131. The next prime is 137261345741153. The reversal of 137261345741151 is 151147543162731.

It is not a de Polignac number, because 137261345741151 - 2⁶ = 137261345741087 is a prime.

It is a super-4 number, since 4×137261345741151⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 137261345741094 and 137261345741103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137261345741153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7356565 + ... + 18128478.

It is an arithmetic number, because the mean of its divisors is an integer number (12111410370384).

Almost surely, 2^{137261345741151} is an apocalyptic number.

137261345741151 is a deficient number, since it is larger than the sum of its proper divisors (56521220184993).

137261345741151 is a wasteful number, since it uses less digits than its factorization.

137261345741151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25590670.

The product of its digits is 2116800, while the sum is 51.

The spelling of 137261345741151 in words is "one hundred thirty-seven trillion, two hundred sixty-one billion, three hundred forty-five million, seven hundred forty-one thousand, one hundred fifty-one".