137320000 has 70 divisors (see below), whose sum is σ = 340608158. Its totient is φ = 54912000.

The previous prime is 137319977. The next prime is 137320003. The reversal of 137320000 is 23731.

It can be written as a sum of positive squares in 5 ways, for example, as 65545216 + 71774784 = 8096^2 + 8472^2 .

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 (137320003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38284 + ... + 41716.

Almost surely, 2^137320000 is an apocalyptic number.

137320000 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 137320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170304079).

137320000 is an abundant number, since it is smaller than the sum of its proper divisors (203288158).

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

137320000 is an frugal number, since it uses more digits than its factorization.

137320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 137320000 is about 11718.3616602322. The cubic root of 137320000 is about 515.9147346243.

Adding to 137320000 its reverse (23731), we get a palindrome (137343731).

The spelling of 137320000 in words is "one hundred thirty-seven million, three hundred twenty thousand".