137727418500 has 768 divisors, whose sum is σ = 543281356800. Its totient is φ = 29792188800.

The previous prime is 137727418487. The next prime is 137727418511. The reversal of 137727418500 is 5814727731.

137727418500 is a `hidden beast` number, since 1 + 3 + 7 + 72 + 74 + 1 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 145435027 + ... + 145435973.

It is an arithmetic number, because the mean of its divisors is an integer number (707397600).

Almost surely, 2^137727418500 is an apocalyptic number.

137727418500 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 137727418500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271640678400).

137727418500 is an abundant number, since it is smaller than the sum of its proper divisors (405553938300).

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

137727418500 is an equidigital number, since it uses as much as digits as its factorization.

137727418500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 137727418500 in words is "one hundred thirty-seven billion, seven hundred twenty-seven million, four hundred eighteen thousand, five hundred".