145193322120 has 512 divisors, whose sum is σ = 563828428800. Its totient is φ = 29023948800.

The previous prime is 145193322083. The next prime is 145193322121. The reversal of 145193322120 is 21223391541.

It is a super-2 number, since 2×145193322120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (145193322121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88693942 + ... + 88695578.

It is an arithmetic number, because the mean of its divisors is an integer number (1101227400).

Almost surely, 2^145193322120 is an apocalyptic number.

145193322120 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 145193322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281914214400).

145193322120 is an abundant number, since it is smaller than the sum of its proper divisors (418635106680).

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

145193322120 is a wasteful number, since it uses less digits than its factorization.

145193322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 145193322120 in words is "one hundred forty-five billion, one hundred ninety-three million, three hundred twenty-two thousand, one hundred twenty".