146141591400 has 576 divisors, whose sum is σ = 595338681600. Its totient is φ = 31362785280.

The previous prime is 146141591371. The next prime is 146141591411. The reversal of 146141591400 is 4195141641.

146141591400 is a `hidden beast` number, since 1 + 4 + 61 + 4 + 1 + 591 + 4 + 0 + 0 = 666.

146141591400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176286186 + ... + 176287014.

It is an arithmetic number, because the mean of its divisors is an integer number (1033574100).

Almost surely, 2^146141591400 is an apocalyptic number.

146141591400 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 146141591400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297669340800).

146141591400 is an abundant number, since it is smaller than the sum of its proper divisors (449197090200).

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

146141591400 is a wasteful number, since it uses less digits than its factorization.

146141591400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 146141591400 in words is "one hundred forty-six billion, one hundred forty-one million, five hundred ninety-one thousand, four hundred".