3137134503750 has 640 divisors, whose sum is σ = 9213068874240. Its totient is φ = 704953344000.

The previous prime is 3137134503749. The next prime is 3137134503779. The reversal of 3137134503750 is 573054317313.

It is a super-2 number, since 2×3137134503750² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4058388364 + ... + 4058389136.

It is an arithmetic number, because the mean of its divisors is an integer number (14395420116).

Almost surely, 2^{3137134503750} is an apocalyptic number.

3137134503750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137134503750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606534437120).

3137134503750 is an abundant number, since it is smaller than the sum of its proper divisors (6075934370490).

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

3137134503750 is a wasteful number, since it uses less digits than its factorization.

3137134503750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 42.

The spelling of 3137134503750 in words is "three trillion, one hundred thirty-seven billion, one hundred thirty-four million, five hundred three thousand, seven hundred fifty".