146077317120 has 768 divisors, whose sum is σ = 584207769600. Its totient is φ = 30387732480.

The previous prime is 146077317119. The next prime is 146077317121. The reversal of 146077317120 is 21713770641.

It is an interprime number because it is at equal distance from previous prime (146077317119) and next prime (146077317121).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146077317121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113325436 + ... + 113326724.

It is an arithmetic number, because the mean of its divisors is an integer number (760687200).

Almost surely, 2^146077317120 is an apocalyptic number.

146077317120 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 146077317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292103884800).

146077317120 is an abundant number, since it is smaller than the sum of its proper divisors (438130452480).

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

146077317120 is a wasteful number, since it uses less digits than its factorization.

146077317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 146077317120 in words is "one hundred forty-six billion, seventy-seven million, three hundred seventeen thousand, one hundred twenty".