137772021715104 has 48 divisors (see below), whose sum is σ = 413316065147328. Its totient is φ = 39363434775552.

The previous prime is 137772021715061. The next prime is 137772021715117. The reversal of 137772021715104 is 401517120277731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×137772021715104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102508944057 + ... + 102508945400.

It is an arithmetic number, because the mean of its divisors is an integer number (8610751357236).

Almost surely, 2^{137772021715104} is an apocalyptic number.

137772021715104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137772021715104 is an abundant number, since it is smaller than the sum of its proper divisors (275544043432224).

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

137772021715104 is a wasteful number, since it uses less digits than its factorization.

137772021715104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205017889477 (or 205017889469 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 48.

The spelling of 137772021715104 in words is "one hundred thirty-seven trillion, seven hundred seventy-two billion, twenty-one million, seven hundred fifteen thousand, one hundred four".