145794284640 has 672 divisors, whose sum is σ = 542639768832. Its totient is φ = 36951552000.

The previous prime is 145794284591. The next prime is 145794284641. The reversal of 145794284640 is 46482497541.

145794284640 is a `hidden beast` number, since 1 + 4 + 579 + 4 + 2 + 8 + 4 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145794284641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 220565910 + ... + 220566570.

It is an arithmetic number, because the mean of its divisors is an integer number (807499656).

Almost surely, 2^145794284640 is an apocalyptic number.

145794284640 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 145794284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271319884416).

145794284640 is an abundant number, since it is smaller than the sum of its proper divisors (396845484192).

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

145794284640 is an equidigital number, since it uses as much as digits as its factorization.

145794284640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 145794284640 in words is "one hundred forty-five billion, seven hundred ninety-four million, two hundred eighty-four thousand, six hundred forty".