145421508096 has 240 divisors, whose sum is σ = 444385553040. Its totient is φ = 45652377600.

The previous prime is 145421508061. The next prime is 145421508107. The reversal of 145421508096 is 690805124541.

145421508096 is a `hidden beast` number, since 1 + 4 + 54 + 2 + 1 + 508 + 0 + 96 = 666.

It is a super-2 number, since 2×145421508096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15141696 + ... + 15151296.

It is an arithmetic number, because the mean of its divisors is an integer number (1851606471).

Almost surely, 2^145421508096 is an apocalyptic number.

145421508096 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 145421508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222192776520).

145421508096 is an abundant number, since it is smaller than the sum of its proper divisors (298964044944).

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

145421508096 is a wasteful number, since it uses less digits than its factorization.

145421508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9817 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 145421508096 in words is "one hundred forty-five billion, four hundred twenty-one million, five hundred eight thousand, ninety-six".