137114040 has 256 divisors, whose sum is σ = 504299520. Its totient is φ = 29145600.

The previous prime is 137114009. The next prime is 137114069. The reversal of 137114040 is 40411731.

It is a super-3 number, since 3×137114040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 137113998 and 137114016.

It is a congruent number.

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, 907965 + ... + 908115.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 2^137114040 is an apocalyptic number.

137114040 is a gapful number since it is divisible by the number (10) 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 137114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252149760).

137114040 is an abundant number, since it is smaller than the sum of its proper divisors (367185480).

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

137114040 is a wasteful number, since it uses less digits than its factorization.

137114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137114040 is about 11709.5704447260. The cubic root of 137114040 is about 515.6566732426.

Adding to 137114040 its reverse (40411731), we get a palindrome (177525771).

The spelling of 137114040 in words is "one hundred thirty-seven million, one hundred fourteen thousand, forty".