137920579104 has 288 divisors, whose sum is σ = 470128893696. Its totient is φ = 34989857280.

The previous prime is 137920579033. The next prime is 137920579123. The reversal of 137920579104 is 401975029731.

It is a super-2 number, since 2×137920579104² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 2193999 + ... + 2255985.

It is an arithmetic number, because the mean of its divisors is an integer number (1632391992).

Almost surely, 2^137920579104 is an apocalyptic number.

137920579104 is a gapful number since it is divisible by the number (14) 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 137920579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235064446848).

137920579104 is an abundant number, since it is smaller than the sum of its proper divisors (332208314592).

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

137920579104 is a wasteful number, since it uses less digits than its factorization.

137920579104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62068 (or 62053 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 137920579104 in words is "one hundred thirty-seven billion, nine hundred twenty million, five hundred seventy-nine thousand, one hundred four".