145325473740720 has 960 divisors, whose sum is σ = 631700132603904. Its totient is φ = 30230191595520.

The previous prime is 145325473740677. The next prime is 145325473740721. The reversal of 145325473740720 is 27047374523541.

145325473740720 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 547 + 3 + 74 + 0 + 7 + 20 = 666.

It is a super-2 number, since 2×145325473740720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145325473740721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125023324 + ... + 126180356.

Almost surely, 2^{145325473740720} is an apocalyptic number.

145325473740720 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 145325473740720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315850066301952).

145325473740720 is an abundant number, since it is smaller than the sum of its proper divisors (486374658863184).

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

145325473740720 is a wasteful number, since it uses less digits than its factorization.

145325473740720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157152 (or 1157134 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 145325473740720 in words is "one hundred forty-five trillion, three hundred twenty-five billion, four hundred seventy-three million, seven hundred forty thousand, seven hundred twenty".