137867474100 has 144 divisors (see below), whose sum is σ = 404294123520. Its totient is φ = 36268003200.

The previous prime is 137867474077. The next prime is 137867474119. The reversal of 137867474100 is 1474768731.

It is a self number, because there is not a number n which added to its sum of digits gives 137867474100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43203505 + ... + 43206695.

It is an arithmetic number, because the mean of its divisors is an integer number (2807598080).

Almost surely, 2^137867474100 is an apocalyptic number.

137867474100 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 137867474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202147061760).

137867474100 is an abundant number, since it is smaller than the sum of its proper divisors (266426649420).

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

137867474100 is a wasteful number, since it uses less digits than its factorization.

137867474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 137867474100 in words is "one hundred thirty-seven billion, eight hundred sixty-seven million, four hundred seventy-four thousand, one hundred".