145889760744 has 768 divisors, whose sum is σ = 543924460800. Its totient is φ = 35784032256.

The previous prime is 145889760691. The next prime is 145889760749. The reversal of 145889760744 is 447067988541.

145889760744 is a `hidden beast` number, since 1 + 4 + 588 + 9 + 7 + 6 + 0 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (145889760749) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 226888887 + ... + 226889529.

It is an arithmetic number, because the mean of its divisors is an integer number (708234975).

Almost surely, 2^145889760744 is an apocalyptic number.

145889760744 is a gapful number since it is divisible by the number (14) 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 145889760744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271962230400).

145889760744 is an abundant number, since it is smaller than the sum of its proper divisors (398034700056).

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

145889760744 is a wasteful number, since it uses less digits than its factorization.

145889760744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 145889760744 in words is "one hundred forty-five billion, eight hundred eighty-nine million, seven hundred sixty thousand, seven hundred forty-four".