137790000 has 150 divisors (see below), whose sum is σ = 482186276. Its totient is φ = 36720000.

The previous prime is 137789969. The next prime is 137790007. The reversal of 137790000 is 97731.

It is a tau number, because it is divible by the number of its divisors (150).

It is not an unprimeable number, because it can be changed into a prime (137790007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89235 + ... + 90765.

Almost surely, 2^137790000 is an apocalyptic number.

137790000 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 137790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241093138).

137790000 is an abundant number, since it is smaller than the sum of its proper divisors (344396276).

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

137790000 is a wasteful number, since it uses less digits than its factorization.

137790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137790000 is about 11738.3985279083. The cubic root of 137790000 is about 516.5026650248.

The spelling of 137790000 in words is "one hundred thirty-seven million, seven hundred ninety thousand".