137277442300 has 72 divisors (see below), whose sum is σ = 305672623200. Its totient is φ = 53481292800.

The previous prime is 137277442277. The next prime is 137277442301. The reversal of 137277442300 is 3244772731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137277442301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2427952 + ... + 2483848.

It is an arithmetic number, because the mean of its divisors is an integer number (4245453100).

Almost surely, 2^137277442300 is an apocalyptic number.

137277442300 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 137277442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152836311600).

137277442300 is an abundant number, since it is smaller than the sum of its proper divisors (168395180900).

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

137277442300 is a wasteful number, since it uses less digits than its factorization.

137277442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56551 (or 56544 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The spelling of 137277442300 in words is "one hundred thirty-seven billion, two hundred seventy-seven million, four hundred forty-two thousand, three hundred".