145096427520 has 1536 divisors, whose sum is σ = 618928128000. Its totient is φ = 32248627200.

The previous prime is 145096427513. The next prime is 145096427561. The reversal of 145096427520 is 25724690541.

145096427520 is a `hidden beast` number, since 1 + 45 + 0 + 9 + 64 + 27 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×145096427520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4680529905 + ... + 4680529935.

It is an arithmetic number, because the mean of its divisors is an integer number (402948000).

Almost surely, 2^145096427520 is an apocalyptic number.

145096427520 is a gapful number since it is divisible by the number (10) 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 145096427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309464064000).

145096427520 is an abundant number, since it is smaller than the sum of its proper divisors (473831700480).

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

145096427520 is an equidigital number, since it uses as much as digits as its factorization.

145096427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 145096427520 in words is "one hundred forty-five billion, ninety-six million, four hundred twenty-seven thousand, five hundred twenty".