145051146240 has 1536 divisors, whose sum is σ = 641949235200. Its totient is φ = 26990346240.

The previous prime is 145051146211. The next prime is 145051146257. The reversal of 145051146240 is 42641150541.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×145051146240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1629788116 + ... + 1629788204.

It is an arithmetic number, because the mean of its divisors is an integer number (417935700).

Almost surely, 2^145051146240 is an apocalyptic number.

145051146240 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 145051146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320974617600).

145051146240 is an abundant number, since it is smaller than the sum of its proper divisors (496898088960).

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

145051146240 is a wasteful number, since it uses less digits than its factorization.

145051146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 145051146240 its reverse (42641150541), we get a palindrome (187692296781).

The spelling of 145051146240 in words is "one hundred forty-five billion, fifty-one million, one hundred forty-six thousand, two hundred forty".