137742800 has 60 divisors (see below), whose sum is σ = 356396460. Its totient is φ = 50856960.

The previous prime is 137742797. The next prime is 137742811. The reversal of 137742800 is 8247731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29333056 + 108409744 = 5416^2 + 10412^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8045 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (5939941).

Almost surely, 2^137742800 is an apocalyptic number.

137742800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137742800 is an abundant number, since it is smaller than the sum of its proper divisors (218653660).

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

137742800 is a wasteful number, since it uses less digits than its factorization.

137742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26520 (or 26509 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 137742800 is about 11736.3878599849. The cubic root of 137742800 is about 516.4436822491.

The spelling of 137742800 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, eight hundred".