137416500 has 336 divisors, whose sum is σ = 501293520. Its totient is φ = 32659200.

The previous prime is 137416481. The next prime is 137416501. The reversal of 137416500 is 5614731.

137416500 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 1 + 650 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69155856 + 68260644 = 8316^2 + 8262^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137416501) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4738486 + ... + 4738514.

It is an arithmetic number, because the mean of its divisors is an integer number (1491945).

Almost surely, 2^137416500 is an apocalyptic number.

137416500 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 137416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250646760).

137416500 is an abundant number, since it is smaller than the sum of its proper divisors (363877020).

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

137416500 is a wasteful number, since it uses less digits than its factorization.

137416500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137416500 is about 11722.4784068899. The cubic root of 137416500 is about 516.0355573117.

The spelling of 137416500 in words is "one hundred thirty-seven million, four hundred sixteen thousand, five hundred".