146076388360 has 384 divisors, whose sum is σ = 419692492800. Its totient is φ = 44721008640.

The previous prime is 146076388349. The next prime is 146076388379. The reversal of 146076388360 is 63883670641.

It is a happy number.

It is a super-2 number, since 2×146076388360² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146076388298 and 146076388307.

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, 133159332 + ... + 133160428.

It is an arithmetic number, because the mean of its divisors is an integer number (1092949200).

Almost surely, 2^146076388360 is an apocalyptic number.

146076388360 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 146076388360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209846246400).

146076388360 is an abundant number, since it is smaller than the sum of its proper divisors (273616104440).

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

146076388360 is a wasteful number, since it uses less digits than its factorization.

146076388360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 146076388360 in words is "one hundred forty-six billion, seventy-six million, three hundred eighty-eight thousand, three hundred sixty".