146731440 has 160 divisors (see below), whose sum is σ = 471398400. Its totient is φ = 37739520.

The previous prime is 146731439. The next prime is 146731441. The reversal of 146731440 is 44137641.

It is an interprime number because it is at equal distance from previous prime (146731439) and next prime (146731441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146731398 and 146731407.

It is not an unprimeable number, because it can be changed into a prime (146731441) 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, 1346106 + ... + 1346214.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^146731440 is an apocalyptic number.

146731440 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 146731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

146731440 is an abundant number, since it is smaller than the sum of its proper divisors (324666960).

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

146731440 is a wasteful number, since it uses less digits than its factorization.

146731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 146731440 is about 12113.2753621801. The cubic root of 146731440 is about 527.4416158438.

The spelling of 146731440 in words is "one hundred forty-six million, seven hundred thirty-one thousand, four hundred forty".