10134150695760 has 960 divisors, whose sum is σ = 40316198598144. Its totient is φ = 2050428764160.

The previous prime is 10134150695731. The next prime is 10134150695777. The reversal of 10134150695760 is 6759605143101.

It is a happy number.

10134150695760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2371668984 + ... + 2371673256.

Almost surely, 2^{10134150695760} is an apocalyptic number.

10134150695760 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 10134150695760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158099299072).

10134150695760 is an abundant number, since it is smaller than the sum of its proper divisors (30182047902384).

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

10134150695760 is a wasteful number, since it uses less digits than its factorization.

10134150695760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 10134150695760 in words is "ten trillion, one hundred thirty-four billion, one hundred fifty million, six hundred ninety-five thousand, seven hundred sixty".