135345577328640 has 2856 divisors, whose sum is σ = 586373670672768. Its totient is φ = 29857928970240.

The previous prime is 135345577328623. The next prime is 135345577328693. The reversal of 135345577328640 is 46823775543531.

135345577328640 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 557 + 7 + 32 + 8 + 6 + 40 = 666.

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 167 ways as a sum of consecutive naturals, for example, 362856775494 + ... + 362856775866.

Almost surely, 2^{135345577328640} is an apocalyptic number.

135345577328640 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 135345577328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293186835336384).

135345577328640 is an abundant number, since it is smaller than the sum of its proper divisors (451028093344128).

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

135345577328640 is an frugal number, since it uses more digits than its factorization.

135345577328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 135345577328640 in words is "one hundred thirty-five trillion, three hundred forty-five billion, five hundred seventy-seven million, three hundred twenty-eight thousand, six hundred forty".