135406402420944 has 640 divisors, whose sum is σ = 372525551124480. Its totient is φ = 42343405977600.

The previous prime is 135406402420907. The next prime is 135406402420951. The reversal of 135406402420944 is 449024204604531.

It is a super-2 number, since 2×135406402420944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 135406402420893 and 135406402420902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 401799413544 + ... + 401799413880.

It is an arithmetic number, because the mean of its divisors is an integer number (582071173632).

Almost surely, 2^{135406402420944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135406402420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186262775562240).

135406402420944 is an abundant number, since it is smaller than the sum of its proper divisors (237119148703536).

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

135406402420944 is a wasteful number, since it uses less digits than its factorization.

135406402420944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 135406402420944 in words is "one hundred thirty-five trillion, four hundred six billion, four hundred two million, four hundred twenty thousand, nine hundred forty-four".