137500000 has 108 divisors (see below), whose sum is σ = 369140436. Its totient is φ = 50000000.

The previous prime is 137499997. The next prime is 137500007. The reversal of 137500000 is 5731.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137500007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12499995 + ... + 12500005.

It is an arithmetic number, because the mean of its divisors is an integer number (3417967).

Almost surely, 2^137500000 is an apocalyptic number.

137500000 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 137500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184570218).

137500000 is an abundant number, since it is smaller than the sum of its proper divisors (231640436).

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

137500000 is an frugal number, since it uses more digits than its factorization.

137500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 137500000 is about 11726.0393995586. The cubic root of 137500000 is about 516.1400577282.

Adding to 137500000 its reverse (5731), we get a palindrome (137505731).

The spelling of 137500000 in words is "one hundred thirty-seven million, five hundred thousand".