145038605751 has 240 divisors, whose sum is σ = 262647354816. Its totient is φ = 79100955648.

The previous prime is 145038605741. The next prime is 145038605759. The reversal of 145038605751 is 157506830541.

145038605751 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 38 + 605 + 7 + 5 + 1 = 666.

It is not a de Polignac number, because 145038605751 - 2²⁷ = 144904388023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145038605697 and 145038605706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145038605759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 463381971 + ... + 463382283.

Almost surely, 2^145038605751 is an apocalyptic number.

145038605751 is a deficient number, since it is larger than the sum of its proper divisors (117608749065).

145038605751 is a wasteful number, since it uses less digits than its factorization.

145038605751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 145038605751 in words is "one hundred forty-five billion, thirty-eight million, six hundred five thousand, seven hundred fifty-one".