145327473720 has 576 divisors, whose sum is σ = 573112519200. Its totient is φ = 31636500480.

The previous prime is 145327473719. The next prime is 145327473721. The reversal of 145327473720 is 27374723541.

145327473720 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 274 + 7 + 372 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145327473719) and next prime (145327473721).

It is a super-2 number, since 2×145327473720² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145327473721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24758946 + ... + 24764814.

Almost surely, 2^145327473720 is an apocalyptic number.

145327473720 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 145327473720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286556259600).

145327473720 is an abundant number, since it is smaller than the sum of its proper divisors (427785045480).

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

145327473720 is a wasteful number, since it uses less digits than its factorization.

145327473720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 145327473720 in words is "one hundred forty-five billion, three hundred twenty-seven million, four hundred seventy-three thousand, seven hundred twenty".