137325312 has 108 divisors (see below), whose sum is σ = 416914680. Its totient is φ = 43352064.

The previous prime is 137325311. The next prime is 137325313. The reversal of 137325312 is 213523731.

It is an interprime number because it is at equal distance from previous prime (137325311) and next prime (137325313).

It is not an unprimeable number, because it can be changed into a prime (137325311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42208 + ... + 45344.

Almost surely, 2^137325312 is an apocalyptic number.

137325312 is a gapful number since it is divisible by the number (12) 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 137325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208457340).

137325312 is an abundant number, since it is smaller than the sum of its proper divisors (279589368).

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

137325312 is a wasteful number, since it uses less digits than its factorization.

137325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3161 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 137325312 is about 11718.5883108845. The cubic root of 137325312 is about 515.9213869782.

It can be divided in two parts, 13732 and 5312, that added together give a square (19044 = 138²).

The spelling of 137325312 in words is "one hundred thirty-seven million, three hundred twenty-five thousand, three hundred twelve".