137794800 has 360 divisors, whose sum is σ = 529657072. Its totient is φ = 30412800.

The previous prime is 137794793. The next prime is 137794823. The reversal of 137794800 is 8497731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1887564 + ... + 1887636.

Almost surely, 2^137794800 is an apocalyptic number.

137794800 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 137794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264828536).

137794800 is an abundant number, since it is smaller than the sum of its proper divisors (391862272).

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

137794800 is a wasteful number, since it uses less digits than its factorization.

137794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 137794800 is about 11738.6029833196. The cubic root of 137794800 is about 516.5086625186.

The spelling of 137794800 in words is "one hundred thirty-seven million, seven hundred ninety-four thousand, eight hundred".