145414240000 has 360 divisors, whose sum is σ = 377686951488. Its totient is φ = 55818240000.

The previous prime is 145414239983. The next prime is 145414240039. The reversal of 145414240000 is 42414541.

It is a super-2 number, since 2×145414240000² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 458719842 + ... + 458720158.

Almost surely, 2^145414240000 is an apocalyptic number.

145414240000 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 145414240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188843475744).

145414240000 is an abundant number, since it is smaller than the sum of its proper divisors (232272711488).

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

145414240000 is an frugal number, since it uses more digits than its factorization.

145414240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 145414240000 its reverse (42414541), we get a palindrome (145456654541).

The spelling of 145414240000 in words is "one hundred forty-five billion, four hundred fourteen million, two hundred forty thousand".