135460224135720 has 384 divisors, whose sum is σ = 498364042176000. Its totient is φ = 32818516865280.

The previous prime is 135460224135701. The next prime is 135460224135799. The reversal of 135460224135720 is 27531422064531.

135460224135720 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 60 + 2 + 2 + 4 + 13 + 572 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 172712211 + ... + 173494749.

It is an arithmetic number, because the mean of its divisors is an integer number (1297823026500).

Almost surely, 2^{135460224135720} is an apocalyptic number.

135460224135720 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 135460224135720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249182021088000).

135460224135720 is an abundant number, since it is smaller than the sum of its proper divisors (362903818040280).

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

135460224135720 is a wasteful number, since it uses less digits than its factorization.

135460224135720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784195 (or 784179 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 135460224135720 in words is "one hundred thirty-five trillion, four hundred sixty billion, two hundred twenty-four million, one hundred thirty-five thousand, seven hundred twenty".