137625414 has 8 divisors (see below), whose sum is σ = 275250840. Its totient is φ = 45875136.

The previous prime is 137625391. The next prime is 137625419. The reversal of 137625414 is 414526731.

It is a sphenic number, since it is the product of 3 distinct primes.

137625414 is an admirable number.

It is a super-3 number, since 3×137625414³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137625419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11468779 + ... + 11468790.

It is an arithmetic number, because the mean of its divisors is an integer number (34406355).

Almost surely, 2^137625414 is an apocalyptic number.

137625414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

137625414 is a wasteful number, since it uses less digits than its factorization.

137625414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22937574.

The product of its digits is 20160, while the sum is 33.

The square root of 137625414 is about 11731.3858516375. The cubic root of 137625414 is about 516.2969341371.

The spelling of 137625414 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, four hundred fourteen".