137423650500 has 288 divisors, whose sum is σ = 440914586112. Its totient is φ = 36027264000.

The previous prime is 137423650493. The next prime is 137423650541. The reversal of 137423650500 is 5056324731.

137423650500 is a `hidden beast` number, since 1 + 3 + 74 + 2 + 36 + 50 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66612469 + ... + 66614531.

It is an arithmetic number, because the mean of its divisors is an integer number (1530953424).

Almost surely, 2^137423650500 is an apocalyptic number.

137423650500 is a gapful number since it is divisible by the number (10) 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 137423650500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220457293056).

137423650500 is an abundant number, since it is smaller than the sum of its proper divisors (303490935612).

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

137423650500 is a wasteful number, since it uses less digits than its factorization.

137423650500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 137423650500 in words is "one hundred thirty-seven billion, four hundred twenty-three million, six hundred fifty thousand, five hundred".