146738772360 has 192 divisors, whose sum is σ = 480275153280. Its totient is φ = 38854287360.

The previous prime is 146738772359. The next prime is 146738772361. The reversal of 146738772360 is 63277837641.

146738772360 is a `hidden beast` number, since 1 + 467 + 3 + 87 + 72 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146738772359) and next prime (146738772361).

It is a junction number, because it is equal to n+sod(n) for n = 146738772297 and 146738772306.

It is not an unprimeable number, because it can be changed into a prime (146738772361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43840207 + ... + 43843553.

It is an arithmetic number, because the mean of its divisors is an integer number (2501433090).

Almost surely, 2^146738772360 is an apocalyptic number.

146738772360 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 146738772360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240137576640).

146738772360 is an abundant number, since it is smaller than the sum of its proper divisors (333536380920).

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

146738772360 is a wasteful number, since it uses less digits than its factorization.

146738772360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 146738772360 in words is "one hundred forty-six billion, seven hundred thirty-eight million, seven hundred seventy-two thousand, three hundred sixty".