146797040 has 240 divisors, whose sum is σ = 428597568. Its totient is φ = 46227456.

The previous prime is 146797033. The next prime is 146797073. The reversal of 146797040 is 40797641.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 146796985 and 146797003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6382469 + ... + 6382491.

Almost surely, 2^146797040 is an apocalyptic number.

146797040 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 146797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214298784).

146797040 is an abundant number, since it is smaller than the sum of its proper divisors (281800528).

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

146797040 is a wasteful number, since it uses less digits than its factorization.

146797040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 146797040 is about 12115.9828326059. The cubic root of 146797040 is about 527.5202061695.

The spelling of 146797040 in words is "one hundred forty-six million, seven hundred ninety-seven thousand, forty".