137075200 has 60 divisors (see below), whose sum is σ = 339646230. Its totient is φ = 54824960.

The previous prime is 137075189. The next prime is 137075203. The reversal of 137075200 is 2570731.

It can be written as a sum of positive squares in 3 ways, for example, as 129413376 + 7661824 = 11376^2 + 2768^2 .

It is a super-2 number, since 2×137075200² = 37579220910080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (137075203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7446 + ... + 18154.

Almost surely, 2^137075200 is an apocalyptic number.

137075200 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 137075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169823115).

137075200 is an abundant number, since it is smaller than the sum of its proper divisors (202571030).

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

137075200 is an equidigital number, since it uses as much as digits as its factorization.

137075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 137075200 is about 11707.9118548100. The cubic root of 137075200 is about 515.6079789912.

The spelling of 137075200 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred".