146070700032 has 288 divisors, whose sum is σ = 408590759808. Its totient is φ = 46374322176.

The previous prime is 146070700031. The next prime is 146070700063. The reversal of 146070700032 is 230007070641.

146070700032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146070700031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896139183 + ... + 896139345.

It is an arithmetic number, because the mean of its divisors is an integer number (1418717916).

Almost surely, 2^146070700032 is an apocalyptic number.

146070700032 is a gapful number since it is divisible by the number (12) 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 146070700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204295379904).

146070700032 is an abundant number, since it is smaller than the sum of its proper divisors (262520059776).

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

146070700032 is an frugal number, since it uses more digits than its factorization.

146070700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

Adding to 146070700032 its reverse (230007070641), we get a palindrome (376077770673).

The spelling of 146070700032 in words is "one hundred forty-six billion, seventy million, seven hundred thousand, thirty-two".