137525250090 has 128 divisors (see below), whose sum is σ = 349048922112. Its totient is φ = 34623509760.

The previous prime is 137525250089. The next prime is 137525250157. The reversal of 137525250090 is 90052525731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46506892 + ... + 46509848.

It is an arithmetic number, because the mean of its divisors is an integer number (2726944704).

Almost surely, 2^137525250090 is an apocalyptic number.

137525250090 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 137525250090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174524461056).

137525250090 is an abundant number, since it is smaller than the sum of its proper divisors (211523672022).

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

137525250090 is a wasteful number, since it uses less digits than its factorization.

137525250090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204.

The product of its (nonzero) digits is 94500, while the sum is 39.

The spelling of 137525250090 in words is "one hundred thirty-seven billion, five hundred twenty-five million, two hundred fifty thousand, ninety".