134962867200 has 1056 divisors, whose sum is σ = 546968880640. Its totient is φ = 28665446400.

The previous prime is 134962867199. The next prime is 134962867231. The reversal of 134962867200 is 2768269431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134962867200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745651110 + ... + 745651290.

Almost surely, 2^134962867200 is an apocalyptic number.

134962867200 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 134962867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273484440320).

134962867200 is an abundant number, since it is smaller than the sum of its proper divisors (412006013440).

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

134962867200 is a wasteful number, since it uses less digits than its factorization.

134962867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 134962867200 in words is "one hundred thirty-four billion, nine hundred sixty-two million, eight hundred sixty-seven thousand, two hundred".