134146392930 has 288 divisors, whose sum is σ = 425476359360. Its totient is φ = 28995287040.

The previous prime is 134146392899. The next prime is 134146392979. The reversal of 134146392930 is 39293641431.

It is a happy number.

134146392930 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 639 + 2 + 9 + 3 + 0 = 666.

It is a super-2 number, since 2×134146392930² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5423752 + ... + 5448428.

It is an arithmetic number, because the mean of its divisors is an integer number (1477348470).

Almost surely, 2^134146392930 is an apocalyptic number.

134146392930 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 134146392930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212738179680).

134146392930 is an abundant number, since it is smaller than the sum of its proper divisors (291329966430).

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

134146392930 is a wasteful number, since it uses less digits than its factorization.

134146392930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24754 (or 24734 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

It can be divided in two parts, 13414639 and 2930, that added together give a square (13417569 = 3663²).

The spelling of 134146392930 in words is "one hundred thirty-four billion, one hundred forty-six million, three hundred ninety-two thousand, nine hundred thirty".