137082400 has 216 divisors, whose sum is σ = 420793380. Its totient is φ = 43223040.

The previous prime is 137082371. The next prime is 137082427. The reversal of 137082400 is 4280731.

It can be written as a sum of positive squares in 6 ways, for example, as 4648336 + 132434064 = 2156^2 + 11508^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 509466 + ... + 509734.

Almost surely, 2^137082400 is an apocalyptic number.

137082400 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 137082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210396690).

137082400 is an abundant number, since it is smaller than the sum of its proper divisors (283710980).

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

137082400 is a wasteful number, since it uses less digits than its factorization.

137082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 137082400 is about 11708.2193351508. The cubic root of 137082400 is about 515.6170064264.

The spelling of 137082400 in words is "one hundred thirty-seven million, eighty-two thousand, four hundred".