137912412 has 72 divisors (see below), whose sum is σ = 372400000. Its totient is φ = 39584160.

The previous prime is 137912389. The next prime is 137912417. The reversal of 137912412 is 214219731.

It is a super-3 number, since 3×137912412³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137912412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137912417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25089 + ... + 30087.

Almost surely, 2^137912412 is an apocalyptic number.

137912412 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 137912412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186200000).

137912412 is an abundant number, since it is smaller than the sum of its proper divisors (234487588).

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

137912412 is a wasteful number, since it uses less digits than its factorization.

137912412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5034 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 137912412 is about 11743.6115398969. The cubic root of 137912412 is about 516.6555726141.

The spelling of 137912412 in words is "one hundred thirty-seven million, nine hundred twelve thousand, four hundred twelve".