137497614000 has 160 divisors (see below), whose sum is σ = 447361337280. Its totient is φ = 36329472000.

The previous prime is 137497613987. The next prime is 137497614011. The reversal of 137497614000 is 416794731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548880 + ... + 759120.

It is an arithmetic number, because the mean of its divisors is an integer number (2796008358).

Almost surely, 2^137497614000 is an apocalyptic number.

137497614000 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 137497614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223680668640).

137497614000 is an abundant number, since it is smaller than the sum of its proper divisors (309863723280).

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

137497614000 is a wasteful number, since it uses less digits than its factorization.

137497614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210376 (or 210360 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 137497614000 in words is "one hundred thirty-seven billion, four hundred ninety-seven million, six hundred fourteen thousand".