137000292 has 96 divisors (see below), whose sum is σ = 388644480. Its totient is φ = 36986880.

The previous prime is 137000291. The next prime is 137000323. The reversal of 137000292 is 292000731.

It is not an unprimeable number, because it can be changed into a prime (137000291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48388 + ... + 51140.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^137000292 is an apocalyptic number.

137000292 is a gapful number since it is divisible by the number (12) 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 137000292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

137000292 is an abundant number, since it is smaller than the sum of its proper divisors (251644188).

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

137000292 is a wasteful number, since it uses less digits than its factorization.

137000292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137000292 is about 11704.7123843348. The cubic root of 137000292 is about 515.5140398003.

The spelling of 137000292 in words is "one hundred thirty-seven million, two hundred ninety-two", and thus it is an aban number.