145416276096 has 768 divisors, whose sum is σ = 506764984320. Its totient is φ = 36578304000.

The previous prime is 145416276073. The next prime is 145416276097. The reversal of 145416276096 is 690672614541.

It is a happy number.

145416276096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145416276096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145416276097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 963021621 + ... + 963021771.

It is an arithmetic number, because the mean of its divisors is an integer number (659850240).

Almost surely, 2^145416276096 is an apocalyptic number.

145416276096 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 145416276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253382492160).

145416276096 is an abundant number, since it is smaller than the sum of its proper divisors (361348708224).

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

145416276096 is a wasteful number, since it uses less digits than its factorization.

145416276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 145416276096 in words is "one hundred forty-five billion, four hundred sixteen million, two hundred seventy-six thousand, ninety-six".