137019480192 has 384 divisors, whose sum is σ = 485394923520. Its totient is φ = 36236851200.

The previous prime is 137019480187. The next prime is 137019480233. The reversal of 137019480192 is 291084910731.

137019480192 is a `hidden beast` number, since 1 + 3 + 70 + 19 + 480 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 5737717 + ... + 5761547.

It is an arithmetic number, because the mean of its divisors is an integer number (1264049280).

Almost surely, 2^137019480192 is an apocalyptic number.

137019480192 is a gapful number since it is divisible by the number (12) 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 137019480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242697461760).

137019480192 is an abundant number, since it is smaller than the sum of its proper divisors (348375443328).

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

137019480192 is a wasteful number, since it uses less digits than its factorization.

137019480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23912 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 137019480192 in words is "one hundred thirty-seven billion, nineteen million, four hundred eighty thousand, one hundred ninety-two".