342456137532 has 144 divisors (see below), whose sum is σ = 910932003072. Its totient is φ = 108267075840.

The previous prime is 342456137519. The next prime is 342456137567. The reversal of 342456137532 is 235731654243.

It is a happy number.

342456137532 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 561 + 37 + 53 + 2 = 666.

It is a super-2 number, since 2×342456137532² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 189096907 + ... + 189098717.

It is an arithmetic number, because the mean of its divisors is an integer number (6325916688).

Almost surely, 2^342456137532 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 342456137532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455466001536).

342456137532 is an abundant number, since it is smaller than the sum of its proper divisors (568475865540).

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

342456137532 is a wasteful number, since it uses less digits than its factorization.

342456137532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3643 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 342456137532 in words is "three hundred forty-two billion, four hundred fifty-six million, one hundred thirty-seven thousand, five hundred thirty-two".