146750391840 has 192 divisors, whose sum is σ = 498180074112. Its totient is φ = 36097228800.

The previous prime is 146750391833. The next prime is 146750391911. The reversal of 146750391840 is 48193057641.

146750391840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146750391840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9545760 + ... + 9561120.

It is an arithmetic number, because the mean of its divisors is an integer number (2594687886).

Almost surely, 2^146750391840 is an apocalyptic number.

146750391840 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 146750391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249090037056).

146750391840 is an abundant number, since it is smaller than the sum of its proper divisors (351429682272).

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

146750391840 is a wasteful number, since it uses less digits than its factorization.

146750391840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 146750391840 in words is "one hundred forty-six billion, seven hundred fifty million, three hundred ninety-one thousand, eight hundred forty".