137763630 has 48 divisors (see below), whose sum is σ = 370543680. Its totient is φ = 35469504.

The previous prime is 137763581. The next prime is 137763679. The reversal of 137763630 is 36367731.

137763630 is a `hidden beast` number, since 13 + 7 + 7 + 6 + 3 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (137763581) and next prime (137763679).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23782 + ... + 29001.

It is an arithmetic number, because the mean of its divisors is an integer number (7719660).

Almost surely, 2^137763630 is an apocalyptic number.

137763630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137763630 is an abundant number, since it is smaller than the sum of its proper divisors (232780050).

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

137763630 is a wasteful number, since it uses less digits than its factorization.

137763630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52825 (or 52822 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 137763630 is about 11737.2752374646. The cubic root of 137763630 is about 516.4697138086.

The spelling of 137763630 in words is "one hundred thirty-seven million, seven hundred sixty-three thousand, six hundred thirty".