145606152120 has 256 divisors, whose sum is σ = 517987975680. Its totient is φ = 32278272000.

The previous prime is 145606152077. The next prime is 145606152121. The reversal of 145606152120 is 21251606541.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145606152121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796470 + ... + 1875770.

It is an arithmetic number, because the mean of its divisors is an integer number (2023390530).

Almost surely, 2^145606152120 is an apocalyptic number.

145606152120 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 145606152120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258993987840).

145606152120 is an abundant number, since it is smaller than the sum of its proper divisors (372381823560).

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

145606152120 is a wasteful number, since it uses less digits than its factorization.

145606152120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79446 (or 79442 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 145606152120 its reverse (21251606541), we get a palindrome (166857758661).

The spelling of 145606152120 in words is "one hundred forty-five billion, six hundred six million, one hundred fifty-two thousand, one hundred twenty".