145335040000 has 240 divisors, whose sum is σ = 384550966800. Its totient is φ = 54706176000.

The previous prime is 145335039991. The next prime is 145335040001. The reversal of 145335040000 is 40533541.

It is a super-2 number, since 2×145335040000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21756661 + ... + 21763339.

It is an arithmetic number, because the mean of its divisors is an integer number (1602295695).

Almost surely, 2^145335040000 is an apocalyptic number.

145335040000 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 145335040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192275483400).

145335040000 is an abundant number, since it is smaller than the sum of its proper divisors (239215926800).

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

145335040000 is an frugal number, since it uses more digits than its factorization.

145335040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 145335040000 its reverse (40533541), we get a palindrome (145375573541).

The spelling of 145335040000 in words is "one hundred forty-five billion, three hundred thirty-five million, forty thousand".