146867760 has 360 divisors, whose sum is σ = 573472224. Its totient is φ = 33546240.

The previous prime is 146867737. The next prime is 146867761. The reversal of 146867760 is 67768641.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146867761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068525 + ... + 2068595.

Almost surely, 2^146867760 is an apocalyptic number.

146867760 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 146867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286736112).

146867760 is an abundant number, since it is smaller than the sum of its proper divisors (426604464).

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

146867760 is a wasteful number, since it uses less digits than its factorization.

146867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 146867760 is about 12118.9009402668. The cubic root of 146867760 is about 527.6049041529.

The spelling of 146867760 in words is "one hundred forty-six million, eight hundred sixty-seven thousand, seven hundred sixty".