137075250 has 128 divisors (see below), whose sum is σ = 390604032. Its totient is φ = 31718400.

The previous prime is 137075249. The next prime is 137075251. The reversal of 137075250 is 52570731.

It is an interprime number because it is at equal distance from previous prime (137075249) and next prime (137075251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137075251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165337 + ... + 166163.

It is an arithmetic number, because the mean of its divisors is an integer number (3051594).

Almost surely, 2^137075250 is an apocalyptic number.

137075250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137075250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195302016).

137075250 is an abundant number, since it is smaller than the sum of its proper divisors (253528782).

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

137075250 is a wasteful number, since it uses less digits than its factorization.

137075250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 137075250 is about 11707.9139901180. The cubic root of 137075250 is about 515.6080416829.

The spelling of 137075250 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred fifty".