134963906477400 has 6912 divisors, whose sum is σ = 689600662732800. Its totient is φ = 22790135808000.

The previous prime is 134963906477359. The next prime is 134963906477437. The reversal of 134963906477400 is 4774609369431.

134963906477400 is a `hidden beast` number, since 1 + 3 + 4 + 96 + 39 + 0 + 6 + 477 + 40 + 0 = 666.

It is a super-3 number, since 3×134963906477400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 706617311305 + ... + 706617311495.

It is an arithmetic number, because the mean of its divisors is an integer number (99768614400).

Almost surely, 2^{134963906477400} is an apocalyptic number.

134963906477400 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 134963906477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344800331366400).

134963906477400 is an abundant number, since it is smaller than the sum of its proper divisors (554636756255400).

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

134963906477400 is a wasteful number, since it uses less digits than its factorization.

134963906477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 134963906477400 in words is "one hundred thirty-four trillion, nine hundred sixty-three billion, nine hundred six million, four hundred seventy-seven thousand, four hundred".