146769840 has 320 divisors, whose sum is σ = 612817920. Its totient is φ = 31518720.

The previous prime is 146769839. The next prime is 146769871. The reversal of 146769840 is 48967641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256755 + ... + 257325.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^146769840 is an apocalyptic number.

146769840 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 146769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

146769840 is an abundant number, since it is smaller than the sum of its proper divisors (466048080).

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

146769840 is a wasteful number, since it uses less digits than its factorization.

146769840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146769840 is about 12114.8602963468. The cubic root of 146769840 is about 527.4876227788.

The spelling of 146769840 in words is "one hundred forty-six million, seven hundred sixty-nine thousand, eight hundred forty".