146171055240 has 480 divisors, whose sum is σ = 557171334720. Its totient is φ = 33231727872.

The previous prime is 146171055229. The next prime is 146171055287. The reversal of 146171055240 is 42550171641.

146171055240 is a `hidden beast` number, since 1 + 4 + 61 + 7 + 1 + 0 + 552 + 40 = 666.

It is a super-3 number, since 3×146171055240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146171055195 and 146171055204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 227326359 + ... + 227327001.

It is an arithmetic number, because the mean of its divisors is an integer number (1160773614).

Almost surely, 2^146171055240 is an apocalyptic number.

146171055240 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 146171055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278585667360).

146171055240 is an abundant number, since it is smaller than the sum of its proper divisors (411000279480).

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

146171055240 is a wasteful number, since it uses less digits than its factorization.

146171055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 146171055240 in words is "one hundred forty-six billion, one hundred seventy-one million, fifty-five thousand, two hundred forty".