145341947520 has 1152 divisors, whose sum is σ = 651480560640. Its totient is φ = 29226700800.

The previous prime is 145341947519. The next prime is 145341947549. The reversal of 145341947520 is 25749143541.

145341947520 is a `hidden beast` number, since 1 + 4 + 5 + 34 + 1 + 94 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×145341947520³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4688449905 + ... + 4688449935.

It is an arithmetic number, because the mean of its divisors is an integer number (565521320).

Almost surely, 2^145341947520 is an apocalyptic number.

145341947520 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 145341947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325740280320).

145341947520 is an abundant number, since it is smaller than the sum of its proper divisors (506138613120).

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

145341947520 is an equidigital number, since it uses as much as digits as its factorization.

145341947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 59 counting only the distinct ones).

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

The spelling of 145341947520 in words is "one hundred forty-five billion, three hundred forty-one million, nine hundred forty-seven thousand, five hundred twenty".