137400000 has 168 divisors, whose sum is σ = 456377040. Its totient is φ = 36480000.

The previous prime is 137399989. The next prime is 137400013. The reversal of 137400000 is 4731.

137400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599886 + ... + 600114.

It is an arithmetic number, because the mean of its divisors is an integer number (2716530).

Almost surely, 2^137400000 is an apocalyptic number.

137400000 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 137400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228188520).

137400000 is an abundant number, since it is smaller than the sum of its proper divisors (318977040).

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

137400000 is an frugal number, since it uses more digits than its factorization.

137400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 137400000 is about 11721.7746096741. The cubic root of 137400000 is about 516.0149025201.

Adding to 137400000 its reverse (4731), we get a palindrome (137404731).

The spelling of 137400000 in words is "one hundred thirty-seven million, four hundred thousand".