135420465642 has 96 divisors (see below), whose sum is σ = 345022820352. Its totient is φ = 34678644000.

The previous prime is 135420465623. The next prime is 135420465671. The reversal of 135420465642 is 246564024531.

It is a happy number.

It is a super-2 number, since 2×135420465642² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 135420465594 and 135420465603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173167 + ... + 548477.

It is an arithmetic number, because the mean of its divisors is an integer number (3593987712).

Almost surely, 2^135420465642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135420465642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172511410176).

135420465642 is an abundant number, since it is smaller than the sum of its proper divisors (209602354710).

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

135420465642 is a wasteful number, since it uses less digits than its factorization.

135420465642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375416 (or 375405 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 135420465642 in words is "one hundred thirty-five billion, four hundred twenty million, four hundred sixty-five thousand, six hundred forty-two".