137934496 has 96 divisors (see below), whose sum is σ = 332252928. Its totient is φ = 55080960.

The previous prime is 137934491. The next prime is 137934499. The reversal of 137934496 is 694439731.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (137934491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210906 + ... + 211558.

It is an arithmetic number, because the mean of its divisors is an integer number (3460968).

Almost surely, 2^137934496 is an apocalyptic number.

137934496 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 137934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166126464).

137934496 is an abundant number, since it is smaller than the sum of its proper divisors (194318432).

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

137934496 is a wasteful number, since it uses less digits than its factorization.

137934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The square root of 137934496 is about 11744.5517581558. The cubic root of 137934496 is about 516.6831486013.

The spelling of 137934496 in words is "one hundred thirty-seven million, nine hundred thirty-four thousand, four hundred ninety-six".