146079232000 has 416 divisors, whose sum is σ = 416029932864. Its totient is φ = 50724864000.

The previous prime is 146079231997. The next prime is 146079232009. The reversal of 146079232000 is 232970641.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (146079232009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113151355 + ... + 113152645.

It is an arithmetic number, because the mean of its divisors is an integer number (1000071954).

Almost surely, 2^146079232000 is an apocalyptic number.

146079232000 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 146079232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208014966432).

146079232000 is an abundant number, since it is smaller than the sum of its proper divisors (269950700864).

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

146079232000 is a wasteful number, since it uses less digits than its factorization.

146079232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 146079232000 in words is "one hundred forty-six billion, seventy-nine million, two hundred thirty-two thousand".