145757967102 has 64 divisors (see below), whose sum is σ = 353410801920. Its totient is φ = 44161812000.

The previous prime is 145757967097. The next prime is 145757967109. The reversal of 145757967102 is 201769757541.

145757967102 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 579 + 67 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145757967109) 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 31 ways as a sum of consecutive naturals, for example, 4409428 + ... + 4442360.

It is an arithmetic number, because the mean of its divisors is an integer number (5522043780).

Almost surely, 2^145757967102 is an apocalyptic number.

145757967102 is an abundant number, since it is smaller than the sum of its proper divisors (207652834818).

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

145757967102 is a wasteful number, since it uses less digits than its factorization.

145757967102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40406 (or 40400 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 145757967102 in words is "one hundred forty-five billion, seven hundred fifty-seven million, nine hundred sixty-seven thousand, one hundred two".