145331327232 has 432 divisors, whose sum is σ = 520906434048. Its totient is φ = 37944115200.

The previous prime is 145331327231. The next prime is 145331327359. The reversal of 145331327232 is 232723133541.

145331327232 is a `hidden beast` number, since 1 + 45 + 3 + 313 + 272 + 32 = 666.

It is a super-2 number, since 2×145331327232² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145331327231) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21172633 + ... + 21179495.

Almost surely, 2^145331327232 is an apocalyptic number.

145331327232 is a gapful number since it is divisible by the number (12) 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 145331327232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260453217024).

145331327232 is an abundant number, since it is smaller than the sum of its proper divisors (375575106816).

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

145331327232 is a wasteful number, since it uses less digits than its factorization.

145331327232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7006 (or 6989 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The spelling of 145331327232 in words is "one hundred forty-five billion, three hundred thirty-one million, three hundred twenty-seven thousand, two hundred thirty-two".