137691074304 has 216 divisors, whose sum is σ = 473439063552. Its totient is φ = 37629757440.

The previous prime is 137691074299. The next prime is 137691074309. The reversal of 137691074304 is 403470196731.

It is an interprime number because it is at equal distance from previous prime (137691074299) and next prime (137691074309).

It is a super-3 number, since 3×137691074304³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137691074304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137691074309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185349 + ... + 556539.

Almost surely, 2^137691074304 is an apocalyptic number.

137691074304 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 137691074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236719531776).

137691074304 is an abundant number, since it is smaller than the sum of its proper divisors (335747989248).

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

137691074304 is a wasteful number, since it uses less digits than its factorization.

137691074304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371243 (or 371226 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 137691074304 in words is "one hundred thirty-seven billion, six hundred ninety-one million, seventy-four thousand, three hundred four".