145734494976 has 504 divisors, whose sum is σ = 501491099424. Its totient is φ = 41385738240.

The previous prime is 145734494953. The next prime is 145734494989. The reversal of 145734494976 is 679494437541.

145734494976 is a `hidden beast` number, since 1 + 4 + 5 + 73 + 4 + 494 + 9 + 76 = 666.

145734494976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 367089210 + ... + 367089606.

Almost surely, 2^145734494976 is an apocalyptic number.

145734494976 is a gapful number since it is divisible by the number (16) 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 145734494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250745549712).

145734494976 is an abundant number, since it is smaller than the sum of its proper divisors (355756604448).

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

145734494976 is an frugal number, since it uses more digits than its factorization.

145734494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 690 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 145734494976 in words is "one hundred forty-five billion, seven hundred thirty-four million, four hundred ninety-four thousand, nine hundred seventy-six".