146187880020 has 1152 divisors, whose sum is σ = 613153981440. Its totient is φ = 27311800320.

The previous prime is 146187879949. The next prime is 146187880021. The reversal of 146187880020 is 20088781641.

146187880020 is a `hidden beast` number, since 1 + 4 + 618 + 7 + 8 + 8 + 0 + 0 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146187880021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 347239410 + ... + 347239830.

It is an arithmetic number, because the mean of its divisors is an integer number (532251720).

Almost surely, 2^146187880020 is an apocalyptic number.

146187880020 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 146187880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306576990720).

146187880020 is an abundant number, since it is smaller than the sum of its proper divisors (466966101420).

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

146187880020 is a wasteful number, since it uses less digits than its factorization.

146187880020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 146187880020 in words is "one hundred forty-six billion, one hundred eighty-seven million, eight hundred eighty thousand, twenty".