135760478400 has 252 divisors, whose sum is σ = 484460101944. Its totient is φ = 36057600000.

The previous prime is 135760478377. The next prime is 135760478423. The reversal of 135760478400 is 4874067531.

135760478400 is a `hidden beast` number, since 1 + 3 + 576 + 0 + 4 + 78 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135760478377) and next prime (135760478423).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3595620 + ... + 3633180.

It is an arithmetic number, because the mean of its divisors is an integer number (1922460722).

Almost surely, 2^135760478400 is an apocalyptic number.

135760478400 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 135760478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242230050972).

135760478400 is an abundant number, since it is smaller than the sum of its proper divisors (348699623544).

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

135760478400 is a wasteful number, since it uses less digits than its factorization.

135760478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37840 (or 37822 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 135760478400 in words is "one hundred thirty-five billion, seven hundred sixty million, four hundred seventy-eight thousand, four hundred".