137905492464 has 400 divisors, whose sum is σ = 437069400768. Its totient is φ = 41801785344.

The previous prime is 137905492451. The next prime is 137905492469. The reversal of 137905492464 is 464294509731.

137905492464 is a `hidden beast` number, since 1 + 3 + 7 + 90 + 5 + 4 + 92 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137905492464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137905492469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136135222 + ... + 136136234.

Almost surely, 2^137905492464 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 137905492464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218534700384).

137905492464 is an abundant number, since it is smaller than the sum of its proper divisors (299163908304).

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

137905492464 is a wasteful number, since it uses less digits than its factorization.

137905492464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 137905492464 in words is "one hundred thirty-seven billion, nine hundred five million, four hundred ninety-two thousand, four hundred sixty-four".