134957467680 has 384 divisors, whose sum is σ = 499439001600. Its totient is φ = 29991112704.

The previous prime is 134957467679. The next prime is 134957467691. The reversal of 134957467680 is 86764759431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33083881 + ... + 33087959.

It is an arithmetic number, because the mean of its divisors is an integer number (1300622400).

Almost surely, 2^134957467680 is an apocalyptic number.

134957467680 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 134957467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249719500800).

134957467680 is an abundant number, since it is smaller than the sum of its proper divisors (364481533920).

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

134957467680 is a wasteful number, since it uses less digits than its factorization.

134957467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 134957467680 in words is "one hundred thirty-four billion, nine hundred fifty-seven million, four hundred sixty-seven thousand, six hundred eighty".