146353480 has 128 divisors (see below), whose sum is σ = 418682880. Its totient is φ = 44789760.

The previous prime is 146353433. The next prime is 146353481. The reversal of 146353480 is 84353641.

It is a happy number.

It is a super-2 number, since 2×146353480² = 42838682216220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146353481) 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, 112192 + ... + 113488.

It is an arithmetic number, because the mean of its divisors is an integer number (3270960).

Almost surely, 2^146353480 is an apocalyptic number.

146353480 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 146353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209341440).

146353480 is an abundant number, since it is smaller than the sum of its proper divisors (272329400).

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

146353480 is a wasteful number, since it uses less digits than its factorization.

146353480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 146353480 is about 12097.6642373642. The cubic root of 146353480 is about 526.9883540977.

The spelling of 146353480 in words is "one hundred forty-six million, three hundred fifty-three thousand, four hundred eighty".