137276165004 has 192 divisors, whose sum is σ = 371008512000. Its totient is φ = 39069768960.

The previous prime is 137276164973. The next prime is 137276165041. The reversal of 137276165004 is 400561672731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190926157 + ... + 190926875.

It is an arithmetic number, because the mean of its divisors is an integer number (1932336000).

Almost surely, 2^137276165004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137276165004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185504256000).

137276165004 is an abundant number, since it is smaller than the sum of its proper divisors (233732346996).

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

137276165004 is a wasteful number, since it uses less digits than its factorization.

137276165004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 137276165004 in words is "one hundred thirty-seven billion, two hundred seventy-six million, one hundred sixty-five thousand, four".