145375740288 has 384 divisors, whose sum is σ = 453038508000. Its totient is φ = 44603080704.

The previous prime is 145375740247. The next prime is 145375740311. The reversal of 145375740288 is 882047573541.

145375740288 is a `hidden beast` number, since 1 + 45 + 3 + 7 + 574 + 0 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×145375740288² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131086678 + ... + 131087786.

Almost surely, 2^145375740288 is an apocalyptic number.

145375740288 is a gapful number since it is divisible by the number (18) 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 145375740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226519254000).

145375740288 is an abundant number, since it is smaller than the sum of its proper divisors (307662767712).

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

145375740288 is a wasteful number, since it uses less digits than its factorization.

145375740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 145375740288 in words is "one hundred forty-five billion, three hundred seventy-five million, seven hundred forty thousand, two hundred eighty-eight".