137506248000 has 1120 divisors, whose sum is σ = 563373398016. Its totient is φ = 32832000000.

The previous prime is 137506247981. The next prime is 137506248013. The reversal of 137506248000 is 842605731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 719927905 + ... + 719928095.

Almost surely, 2^137506248000 is an apocalyptic number.

137506248000 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 137506248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281686699008).

137506248000 is an abundant number, since it is smaller than the sum of its proper divisors (425867150016).

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

137506248000 is a wasteful number, since it uses less digits than its factorization.

137506248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 137506248000 in words is "one hundred thirty-seven billion, five hundred six million, two hundred forty-eight thousand".