137338000 has 40 divisors (see below), whose sum is σ = 332088120. Its totient is φ = 54934400.

The previous prime is 137337971. The next prime is 137338049. The reversal of 137338000 is 833731.

It can be written as a sum of positive squares in 4 ways, for example, as 3519376 + 133818624 = 1876^2 + 11568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32335 + ... + 36334.

It is an arithmetic number, because the mean of its divisors is an integer number (8302203).

Almost surely, 2^137338000 is an apocalyptic number.

137338000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137338000 is an abundant number, since it is smaller than the sum of its proper divisors (194750120).

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

137338000 is an equidigital number, since it uses as much as digits as its factorization.

137338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68692 (or 68676 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 137338000 is about 11719.1296605166. The cubic root of 137338000 is about 515.9372757921.

The spelling of 137338000 in words is "one hundred thirty-seven million, three hundred thirty-eight thousand".