134965827110400 has 2880 divisors, whose sum is σ = 551963780628480. Its totient is φ = 28782673920000.

The previous prime is 134965827110399. The next prime is 134965827110417. The reversal of 134965827110400 is 4011728569431.

It is a super-2 number, since 2×134965827110400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 157119705171 + ... + 157119706029.

It is an arithmetic number, because the mean of its divisors is an integer number (191654090496).

It is a 1-persistent number, because it is pandigital, but 2⋅134965827110400 = 269931654220800 is not.

Almost surely, 2^{134965827110400} is an apocalyptic number.

134965827110400 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 134965827110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275981890314240).

134965827110400 is an abundant number, since it is smaller than the sum of its proper divisors (416997953518080).

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

134965827110400 is a wasteful number, since it uses less digits than its factorization.

134965827110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 134965827110400 in words is "one hundred thirty-four trillion, nine hundred sixty-five billion, eight hundred twenty-seven million, one hundred ten thousand, four hundred".