134535456510 has 192 divisors, whose sum is σ = 400691225088. Its totient is φ = 28306616832.

The previous prime is 134535456469. The next prime is 134535456533. The reversal of 134535456510 is 15654535431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13232689 + ... + 13242851.

It is an arithmetic number, because the mean of its divisors is an integer number (2086933464).

Almost surely, 2^134535456510 is an apocalyptic number.

134535456510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134535456510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200345612544).

134535456510 is an abundant number, since it is smaller than the sum of its proper divisors (266155768578).

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

134535456510 is a wasteful number, since it uses less digits than its factorization.

134535456510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 134535456510 in words is "one hundred thirty-four billion, five hundred thirty-five million, four hundred fifty-six thousand, five hundred ten".