146749635729840 has 1280 divisors, whose sum is σ = 570289899110400. Its totient is φ = 30667966709760.

The previous prime is 146749635729803. The next prime is 146749635729881. The reversal of 146749635729840 is 48927536947641.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104896093461 + ... + 104896094859.

It is an arithmetic number, because the mean of its divisors is an integer number (445538983680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅146749635729840 = 293499271459680, but 3⋅146749635729840 = 440248907189520 is not.

Almost surely, 2^{146749635729840} is an apocalyptic number.

146749635729840 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 146749635729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285144949555200).

146749635729840 is an abundant number, since it is smaller than the sum of its proper divisors (423540263380560).

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

146749635729840 is a wasteful number, since it uses less digits than its factorization.

146749635729840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 75.

The spelling of 146749635729840 in words is "one hundred forty-six trillion, seven hundred forty-nine billion, six hundred thirty-five million, seven hundred twenty-nine thousand, eight hundred forty".