137714500 has 192 divisors, whose sum is σ = 387878400. Its totient is φ = 42336000.

The previous prime is 137714497. The next prime is 137714539. The reversal of 137714500 is 5417731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886464 + ... + 1886536.

It is an arithmetic number, because the mean of its divisors is an integer number (2020200).

Almost surely, 2^137714500 is an apocalyptic number.

137714500 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 137714500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939200).

137714500 is an abundant number, since it is smaller than the sum of its proper divisors (250163900).

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

137714500 is a wasteful number, since it uses less digits than its factorization.

137714500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 137714500 is about 11735.1821460086. The cubic root of 137714500 is about 516.4083111148.

The spelling of 137714500 in words is "one hundred thirty-seven million, seven hundred fourteen thousand, five hundred".