145754435712 has 192 divisors, whose sum is σ = 412104765600. Its totient is φ = 45634584576.

The previous prime is 145754435711. The next prime is 145754435741. The reversal of 145754435712 is 217534457541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (145754435711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73132188 + ... + 73134180.

Almost surely, 2^145754435712 is an apocalyptic number.

145754435712 is a gapful number since it is divisible by the number (12) 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 145754435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206052382800).

145754435712 is an abundant number, since it is smaller than the sum of its proper divisors (266350329888).

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

145754435712 is a wasteful number, since it uses less digits than its factorization.

145754435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2674 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 48.

The spelling of 145754435712 in words is "one hundred forty-five billion, seven hundred fifty-four million, four hundred thirty-five thousand, seven hundred twelve".