137372080200 has 192 divisors, whose sum is σ = 451333969920. Its totient is φ = 34444800000.

The previous prime is 137372080193. The next prime is 137372080211. The reversal of 137372080200 is 2080273731.

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, 11734350 + ... + 11746050.

It is an arithmetic number, because the mean of its divisors is an integer number (2350697760).

Almost surely, 2^137372080200 is an apocalyptic number.

137372080200 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 137372080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225666984960).

137372080200 is an abundant number, since it is smaller than the sum of its proper divisors (313961889720).

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

137372080200 is a wasteful number, since it uses less digits than its factorization.

137372080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12888 (or 12879 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 137372080200 in words is "one hundred thirty-seven billion, three hundred seventy-two million, eighty thousand, two hundred".