14959133136 has 400 divisors, whose sum is σ = 47485139328. Its totient is φ = 4528742400.

The previous prime is 14959133107. The next prime is 14959133159. The reversal of 14959133136 is 63133195941.

14959133136 is a `hidden beast` number, since 1 + 49 + 591 + 3 + 3 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14959133091 and 14959133100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114191791 + ... + 114191921.

Almost surely, 2^14959133136 is an apocalyptic number.

14959133136 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 14959133136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23742569664).

14959133136 is an abundant number, since it is smaller than the sum of its proper divisors (32526006192).

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

14959133136 is a wasteful number, since it uses less digits than its factorization.

14959133136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 14959133136 in words is "fourteen billion, nine hundred fifty-nine million, one hundred thirty-three thousand, one hundred thirty-six".