137949452136 has 160 divisors (see below), whose sum is σ = 394645759200. Its totient is φ = 45010442880.

The previous prime is 137949452117. The next prime is 137949452159. The reversal of 137949452136 is 631254949731.

137949452136 is a `hidden beast` number, since 1 + 3 + 79 + 49 + 4 + 521 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5850691 + ... + 5874221.

It is an arithmetic number, because the mean of its divisors is an integer number (2466535995).

Almost surely, 2^137949452136 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 137949452136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197322879600).

137949452136 is an abundant number, since it is smaller than the sum of its proper divisors (256696307064).

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

137949452136 is a wasteful number, since it uses less digits than its factorization.

137949452136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23741 (or 23728 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 137949452136 in words is "one hundred thirty-seven billion, nine hundred forty-nine million, four hundred fifty-two thousand, one hundred thirty-six".