145241851350240 has 144 divisors (see below), whose sum is σ = 524792983570128. Its totient is φ = 36452856803328.

The previous prime is 145241851350229. The next prime is 145241851350247. The reversal of 145241851350240 is 42053158142541.

145241851350240 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 1 + 8 + 51 + 350 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145241851350240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145241851350247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966516602 + ... + 2966565561.

It is an arithmetic number, because the mean of its divisors is an integer number (3644395719237).

Almost surely, 2^{145241851350240} is an apocalyptic number.

145241851350240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145241851350240 is an abundant number, since it is smaller than the sum of its proper divisors (379551132219888).

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

145241851350240 is a wasteful number, since it uses less digits than its factorization.

145241851350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933082201 (or 5933082190 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 145241851350240 in words is "one hundred forty-five trillion, two hundred forty-one billion, eight hundred fifty-one million, three hundred fifty thousand, two hundred forty".