146132116135880 has 128 divisors (see below), whose sum is σ = 377290063503360. Its totient is φ = 49899564000000.

The previous prime is 146132116135861. The next prime is 146132116135897. The reversal of 146132116135880 is 88531611231641.

It is a super-4 number, since 4×146132116135880⁴ (a number of 58 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1233425045 + ... + 1233543515.

It is an arithmetic number, because the mean of its divisors is an integer number (2947578621120).

Almost surely, 2^{146132116135880} is an apocalyptic number.

146132116135880 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 146132116135880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188645031751680).

146132116135880 is an abundant number, since it is smaller than the sum of its proper divisors (231157947367480).

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

146132116135880 is a wasteful number, since it uses less digits than its factorization.

146132116135880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136291 (or 136287 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 146132116135880 in words is "one hundred forty-six trillion, one hundred thirty-two billion, one hundred sixteen million, one hundred thirty-five thousand, eight hundred eighty".