146349715200 has 432 divisors, whose sum is σ = 523400833536. Its totient is φ = 35798630400.

The previous prime is 146349715147. The next prime is 146349715201. The reversal of 146349715200 is 2517943641.

It is a super-3 number, since 3×146349715200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146349715201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41681445 + ... + 41684955.

Almost surely, 2^146349715200 is an apocalyptic number.

146349715200 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 146349715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261700416768).

146349715200 is an abundant number, since it is smaller than the sum of its proper divisors (377051118336).

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

146349715200 is a wasteful number, since it uses less digits than its factorization.

146349715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 146349715200 in words is "one hundred forty-six billion, three hundred forty-nine million, seven hundred fifteen thousand, two hundred".