137845800 has 240 divisors, whose sum is σ = 489730560. Its totient is φ = 35925120.

The previous prime is 137845789. The next prime is 137845801. The reversal of 137845800 is 8548731.

137845800 is a `hidden beast` number, since 1 + 3 + 78 + 4 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137845801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1085337 + ... + 1085463.

It is an arithmetic number, because the mean of its divisors is an integer number (2040544).

Almost surely, 2^137845800 is an apocalyptic number.

137845800 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 137845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244865280).

137845800 is an abundant number, since it is smaller than the sum of its proper divisors (351884760).

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

137845800 is a wasteful number, since it uses less digits than its factorization.

137845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137845800 is about 11740.7751021813. The cubic root of 137845800 is about 516.5723772901.

The spelling of 137845800 in words is "one hundred thirty-seven million, eight hundred forty-five thousand, eight hundred".