146289117632 has 112 divisors (see below), whose sum is σ = 343417233408. Its totient is φ = 60519674880.

The previous prime is 146289117631. The next prime is 146289117649. The reversal of 146289117632 is 236711982641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146289117631) 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, 2070407 + ... + 2139897.

Almost surely, 2^146289117632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146289117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171708616704).

146289117632 is an abundant number, since it is smaller than the sum of its proper divisors (197128115776).

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

146289117632 is a wasteful number, since it uses less digits than its factorization.

146289117632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69674 (or 69664 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The spelling of 146289117632 in words is "one hundred forty-six billion, two hundred eighty-nine million, one hundred seventeen thousand, six hundred thirty-two".