145357526522880 has 4400 divisors, whose sum is σ = 666553251868416. Its totient is φ = 30152227553280.

The previous prime is 145357526522837. The next prime is 145357526522917. The reversal of 145357526522880 is 88225625753541.

145357526522880 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 5 + 7 + 5 + 26 + 522 + 8 + 80 = 666.

It is a super-2 number, since 2×145357526522880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 524756413302 + ... + 524756413578.

Almost surely, 2^{145357526522880} is an apocalyptic number.

145357526522880 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 145357526522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333276625934208).

145357526522880 is an abundant number, since it is smaller than the sum of its proper divisors (521195725345536).

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

145357526522880 is an equidigital number, since it uses as much as digits as its factorization.

145357526522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 145357526522880 in words is "one hundred forty-five trillion, three hundred fifty-seven billion, five hundred twenty-six million, five hundred twenty-two thousand, eight hundred eighty".