134828268016032 has 144 divisors (see below), whose sum is σ = 385072247064960. Its totient is φ = 44749044864000.

The previous prime is 134828268015983. The next prime is 134828268016033. The reversal of 134828268016032 is 230610862828431.

134828268016032 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 8 + 26 + 8 + 0 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134828268016032.

It is not an unprimeable number, because it can be changed into a prime (134828268016033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125042407 + ... + 126116057.

It is an arithmetic number, because the mean of its divisors is an integer number (2674112826840).

Almost surely, 2^{134828268016032} is an apocalyptic number.

134828268016032 is a gapful number since it is divisible by the number (12) 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 134828268016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192536123532480).

134828268016032 is an abundant number, since it is smaller than the sum of its proper divisors (250243979048928).

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

134828268016032 is a wasteful number, since it uses less digits than its factorization.

134828268016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075547 (or 1075536 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 134828268016032 in words is "one hundred thirty-four trillion, eight hundred twenty-eight billion, two hundred sixty-eight million, sixteen thousand, thirty-two".