146826540 has 288 divisors, whose sum is σ = 551577600. Its totient is φ = 32296320.

The previous prime is 146826529. The next prime is 146826541. The reversal of 146826540 is 45628641.

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 = 146826495 and 146826504.

It is not an unprimeable number, because it can be changed into a prime (146826541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820171 + ... + 820349.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^146826540 is an apocalyptic number.

146826540 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 146826540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

146826540 is an abundant number, since it is smaller than the sum of its proper divisors (404751060).

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

146826540 is a wasteful number, since it uses less digits than its factorization.

146826540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 146826540 is about 12117.2001716568. The cubic root of 146826540 is about 527.5555402239. Note that the first 4 decimals are identical.

The spelling of 146826540 in words is "one hundred forty-six million, eight hundred twenty-six thousand, five hundred forty".