137497270000 has 200 divisors, whose sum is σ = 337830609600. Its totient is φ = 54190080000.

The previous prime is 137497269937. The next prime is 137497270003. The reversal of 137497270000 is 72794731.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137497270003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306229776 + ... + 306230224.

It is an arithmetic number, because the mean of its divisors is an integer number (1689153048).

Almost surely, 2^137497270000 is an apocalyptic number.

137497270000 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 137497270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168915304800).

137497270000 is an abundant number, since it is smaller than the sum of its proper divisors (200333339600).

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

137497270000 is a wasteful number, since it uses less digits than its factorization.

137497270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The spelling of 137497270000 in words is "one hundred thirty-seven billion, four hundred ninety-seven million, two hundred seventy thousand".