137276496 has 120 divisors (see below), whose sum is σ = 464952384. Its totient is φ = 36910080.

The previous prime is 137276467. The next prime is 137276507. The reversal of 137276496 is 694672731.

137276496 is a `hidden beast` number, since 137 + 27 + 6 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13131 + ... + 21141.

Almost surely, 2^137276496 is an apocalyptic number.

137276496 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 137276496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232476192).

137276496 is an abundant number, since it is smaller than the sum of its proper divisors (327675888).

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

137276496 is a wasteful number, since it uses less digits than its factorization.

137276496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8040 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 137276496 is about 11716.5052810128. The cubic root of 137276496 is about 515.8602469915.

The spelling of 137276496 in words is "one hundred thirty-seven million, two hundred seventy-six thousand, four hundred ninety-six".