145196029776 has 640 divisors, whose sum is σ = 499168051200. Its totient is φ = 35364003840.

The previous prime is 145196029697. The next prime is 145196029789. The reversal of 145196029776 is 677920691541.

It is a happy number.

145196029776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145196029776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 127 ways as a sum of consecutive naturals, for example, 346529695 + ... + 346530113.

It is an arithmetic number, because the mean of its divisors is an integer number (779950080).

Almost surely, 2^145196029776 is an apocalyptic number.

145196029776 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 145196029776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249584025600).

145196029776 is an abundant number, since it is smaller than the sum of its proper divisors (353972021424).

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

145196029776 is a wasteful number, since it uses less digits than its factorization.

145196029776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 145196029776 in words is "one hundred forty-five billion, one hundred ninety-six million, twenty-nine thousand, seven hundred seventy-six".