145392586240 has 160 divisors (see below), whose sum is σ = 389571003360. Its totient is φ = 51580108800.

The previous prime is 145392586223. The next prime is 145392586247. The reversal of 145392586240 is 42685293541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×145392586240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145392586247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091596 + ... + 1217524.

It is an arithmetic number, because the mean of its divisors is an integer number (2434818771).

Almost surely, 2^145392586240 is an apocalyptic number.

145392586240 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 145392586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194785501680).

145392586240 is an abundant number, since it is smaller than the sum of its proper divisors (244178417120).

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

145392586240 is a wasteful number, since it uses less digits than its factorization.

145392586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126004 (or 125988 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 145392586240 in words is "one hundred forty-five billion, three hundred ninety-two million, five hundred eighty-six thousand, two hundred forty".