146960210349120 has 448 divisors, whose sum is σ = 541426428610560. Its totient is φ = 33076601192448.

The previous prime is 146960210349089. The next prime is 146960210349149. The reversal of 146960210349120 is 21943012069641.

It is a tau number, because it is divible by the number of its divisors (448).

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 146960210349120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1174613607 + ... + 1174738713.

Almost surely, 2^{146960210349120} is an apocalyptic number.

146960210349120 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 146960210349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270713214305280).

146960210349120 is an abundant number, since it is smaller than the sum of its proper divisors (394466218261440).

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

146960210349120 is a wasteful number, since it uses less digits than its factorization.

146960210349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127810 (or 127800 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 146960210349120 in words is "one hundred forty-six trillion, nine hundred sixty billion, two hundred ten million, three hundred forty-nine thousand, one hundred twenty".