145983237120 has 704 divisors, whose sum is σ = 596233128960. Its totient is φ = 33181138944.

The previous prime is 145983237109. The next prime is 145983237121. The reversal of 145983237120 is 21732389541.

It is a happy number.

145983237120 is a `hidden beast` number, since 1 + 4 + 598 + 3 + 2 + 37 + 1 + 20 = 666.

It is a super-3 number, since 3×145983237120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145983237121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248693467 + ... + 248694053.

Almost surely, 2^145983237120 is an apocalyptic number.

145983237120 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 145983237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298116564480).

145983237120 is an abundant number, since it is smaller than the sum of its proper divisors (450249891840).

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

145983237120 is a wasteful number, since it uses less digits than its factorization.

145983237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 145983237120 in words is "one hundred forty-five billion, nine hundred eighty-three million, two hundred thirty-seven thousand, one hundred twenty".