137906496 has 224 divisors, whose sum is σ = 499546880. Its totient is φ = 36329472.

The previous prime is 137906491. The next prime is 137906497. The reversal of 137906496 is 694609731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137906491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156810 + ... + 157686.

It is an arithmetic number, because the mean of its divisors is an integer number (2230120).

Almost surely, 2^137906496 is an apocalyptic number.

137906496 is a gapful number since it is divisible by the number (16) 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 137906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249773440).

137906496 is an abundant number, since it is smaller than the sum of its proper divisors (361640384).

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

137906496 is a wasteful number, since it uses less digits than its factorization.

137906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 137906496 is about 11743.3596555671. The cubic root of 137906496 is about 516.6481848864.

The spelling of 137906496 in words is "one hundred thirty-seven million, nine hundred six thousand, four hundred ninety-six".