137125000 has 56 divisors (see below), whose sum is σ = 321675570. Its totient is φ = 54800000.

The previous prime is 137124959. The next prime is 137125003. The reversal of 137125000 is 521731.

It can be written as a sum of positive squares in 7 ways, for example, as 88096996 + 49028004 = 9386^2 + 7002^2 .

It is not an unprimeable number, because it can be changed into a prime (137125003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124452 + ... + 125548.

Almost surely, 2^137125000 is an apocalyptic number.

137125000 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 137125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160837785).

137125000 is an abundant number, since it is smaller than the sum of its proper divisors (184550570).

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

137125000 is an frugal number, since it uses more digits than its factorization.

137125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 137125000 is about 11710.0384286304. The cubic root of 137125000 is about 515.6704122844.

Adding to 137125000 its reverse (521731), we get a palindrome (137646731).

The spelling of 137125000 in words is "one hundred thirty-seven million, one hundred twenty-five thousand".