146694240 has 576 divisors, whose sum is σ = 660441600. Its totient is φ = 30481920.

The previous prime is 146694239. The next prime is 146694311. The reversal of 146694240 is 42496641.

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 = 146694195 and 146694204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13335835 + ... + 13335845.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^146694240 is an apocalyptic number.

146694240 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 146694240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

146694240 is an abundant number, since it is smaller than the sum of its proper divisors (513747360).

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

146694240 is an equidigital number, since it uses as much as digits as its factorization.

146694240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

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

The square root of 146694240 is about 12111.7397594235. The cubic root of 146694240 is about 527.3970389704.

The spelling of 146694240 in words is "one hundred forty-six million, six hundred ninety-four thousand, two hundred forty".