137674697490 has 512 divisors, whose sum is σ = 436376678400. Its totient is φ = 30524221440.

The previous prime is 137674697449. The next prime is 137674697533. The reversal of 137674697490 is 94796476731.

137674697490 is a `hidden beast` number, since 1 + 3 + 76 + 74 + 6 + 9 + 7 + 490 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 486482889 + ... + 486483171.

It is an arithmetic number, because the mean of its divisors is an integer number (852298200).

Almost surely, 2^137674697490 is an apocalyptic number.

137674697490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137674697490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218188339200).

137674697490 is an abundant number, since it is smaller than the sum of its proper divisors (298701980910).

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

137674697490 is a wasteful number, since it uses less digits than its factorization.

137674697490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 137674697490 in words is "one hundred thirty-seven billion, six hundred seventy-four million, six hundred ninety-seven thousand, four hundred ninety".