456203752134 has 48 divisors (see below), whose sum is σ = 988990700544. Its totient is φ = 140228431200.

The previous prime is 456203752099. The next prime is 456203752153. The reversal of 456203752134 is 431257302654.

It is a super-2 number, since 2×456203752134² (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 23 ways as a sum of consecutive naturals, for example, 777879 + ... + 1231869.

It is an arithmetic number, because the mean of its divisors is an integer number (20603972928).

Almost surely, 2^456203752134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456203752134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494495350272).

456203752134 is an abundant number, since it is smaller than the sum of its proper divisors (532786948410).

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

456203752134 is a wasteful number, since it uses less digits than its factorization.

456203752134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455013 (or 455000 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 456203752134 in words is "four hundred fifty-six billion, two hundred three million, seven hundred fifty-two thousand, one hundred thirty-four".