134961798400 has 864 divisors, whose sum is σ = 416949313536. Its totient is φ = 42577920000.

The previous prime is 134961798383. The next prime is 134961798437. The reversal of 134961798400 is 4897169431.

134961798400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 1900870365 + ... + 1900870435.

It is an arithmetic number, because the mean of its divisors is an integer number (482580224).

Almost surely, 2^134961798400 is an apocalyptic number.

134961798400 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 134961798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208474656768).

134961798400 is an abundant number, since it is smaller than the sum of its proper divisors (281987515136).

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

134961798400 is a wasteful number, since it uses less digits than its factorization.

134961798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 134961798400 in words is "one hundred thirty-four billion, nine hundred sixty-one million, seven hundred ninety-eight thousand, four hundred".