145414672767 has 96 divisors (see below), whose sum is σ = 277173489600. Its totient is φ = 74628884736.

The previous prime is 145414672723. The next prime is 145414672783. The reversal of 145414672767 is 767276414541.

145414672767 is a `hidden beast` number, since 14 + 541 + 4 + 6 + 7 + 27 + 67 = 666.

It is not a de Polignac number, because 145414672767 - 2¹⁴ = 145414656383 is a prime.

It is a super-2 number, since 2×145414672767² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145414671767) 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 95 ways as a sum of consecutive naturals, for example, 522109 + ... + 750617.

It is an arithmetic number, because the mean of its divisors is an integer number (2887223850).

Almost surely, 2^145414672767 is an apocalyptic number.

145414672767 is a deficient number, since it is larger than the sum of its proper divisors (131758816833).

145414672767 is a wasteful number, since it uses less digits than its factorization.

145414672767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228582 (or 228569 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 145414672767 in words is "one hundred forty-five billion, four hundred fourteen million, six hundred seventy-two thousand, seven hundred sixty-seven".