145710240000 has 720 divisors, whose sum is σ = 549787761600. Its totient is φ = 33951744000.

The previous prime is 145710239993. The next prime is 145710240001. The reversal of 145710240000 is 42017541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145710240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118559386 + ... + 118560614.

Almost surely, 2^145710240000 is an apocalyptic number.

145710240000 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 145710240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274893880800).

145710240000 is an abundant number, since it is smaller than the sum of its proper divisors (404077521600).

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

145710240000 is a wasteful number, since it uses less digits than its factorization.

145710240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 145710240000 its reverse (42017541), we get a palindrome (145752257541).

The spelling of 145710240000 in words is "one hundred forty-five billion, seven hundred ten million, two hundred forty thousand".