146699804160 has 1280 divisors, whose sum is σ = 651378309120. Its totient is φ = 30470307840.

The previous prime is 146699804113. The next prime is 146699804161. The reversal of 146699804160 is 61408996641.

It is a happy number.

146699804160 is a `hidden beast` number, since 1 + 4 + 66 + 99 + 80 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146699804097 and 146699804106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146699804161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522063220 + ... + 522063500.

It is an arithmetic number, because the mean of its divisors is an integer number (508889304).

Almost surely, 2^146699804160 is an apocalyptic number.

146699804160 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 146699804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325689154560).

146699804160 is an abundant number, since it is smaller than the sum of its proper divisors (504678504960).

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

146699804160 is a wasteful number, since it uses less digits than its factorization.

146699804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 146699804160 in words is "one hundred forty-six billion, six hundred ninety-nine million, eight hundred four thousand, one hundred sixty".