10146937536 has 168 divisors, whose sum is σ = 31268090880. Its totient is φ = 3135960576.

The previous prime is 10146937529. The next prime is 10146937553. The reversal of 10146937536 is 63573964101.

It is a happy number.

10146937536 is a `hidden beast` number, since 10 + 14 + 6 + 93 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10146937491 and 10146937500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504505 + ... + 524231.

Almost surely, 2^10146937536 is an apocalyptic number.

10146937536 is a gapful number since it is divisible by the number (16) 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 10146937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634045440).

10146937536 is an abundant number, since it is smaller than the sum of its proper divisors (21121153344).

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

10146937536 is a wasteful number, since it uses less digits than its factorization.

10146937536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19811 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10146937536 in words is "ten billion, one hundred forty-six million, nine hundred thirty-seven thousand, five hundred thirty-six".