146629440 has 140 divisors (see below), whose sum is σ = 521678916. Its totient is φ = 39094272.

The previous prime is 146629381. The next prime is 146629447. The reversal of 146629440 is 44926641.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 115089984 = 5616^2 + 10728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146629395 and 146629404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146629447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23092 + ... + 28748.

Almost surely, 2^146629440 is an apocalyptic number.

146629440 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 146629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260839458).

146629440 is an abundant number, since it is smaller than the sum of its proper divisors (375049476).

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

146629440 is an equidigital number, since it uses as much as digits as its factorization.

146629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 146629440 is about 12109.0643734353. The cubic root of 146629440 is about 527.3193709322.

The spelling of 146629440 in words is "one hundred forty-six million, six hundred twenty-nine thousand, four hundred forty".