137428400200 has 576 divisors, whose sum is σ = 419043179520. Its totient is φ = 40974336000.

The previous prime is 137428400191. The next prime is 137428400203. The reversal of 137428400200 is 2004824731.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (137428400203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 300718372 + ... + 300718828.

It is an arithmetic number, because the mean of its divisors is an integer number (727505520).

Almost surely, 2^137428400200 is an apocalyptic number.

137428400200 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 137428400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209521589760).

137428400200 is an abundant number, since it is smaller than the sum of its proper divisors (281614779320).

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

137428400200 is a wasteful number, since it uses less digits than its factorization.

137428400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 137428400200 in words is "one hundred thirty-seven billion, four hundred twenty-eight million, four hundred thousand, two hundred".