745902144 has 336 divisors, whose sum is σ = 2476341504. Its totient is φ = 212889600.

The previous prime is 745902137. The next prime is 745902163. The reversal of 745902144 is 441209547.

It is a happy number.

745902144 is a `hidden beast` number, since 7 + 4 + 590 + 21 + 44 = 666.

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 = 745902099 and 745902108.

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 47 ways as a sum of consecutive naturals, for example, 10505629 + ... + 10505699.

It is an arithmetic number, because the mean of its divisors is an integer number (7370064).

Almost surely, 2^745902144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238170752).

745902144 is an abundant number, since it is smaller than the sum of its proper divisors (1730439360).

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

745902144 is a wasteful number, since it uses less digits than its factorization.

745902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 745902144 is about 27311.2091273894. The cubic root of 745902144 is about 906.9025405148.

The spelling of 745902144 in words is "seven hundred forty-five million, nine hundred two thousand, one hundred forty-four".