145121829120 has 180 divisors, whose sum is σ = 519272814060. Its totient is φ = 38699126784.

The previous prime is 145121829109. The next prime is 145121829131. The reversal of 145121829120 is 21928121541.

145121829120 is a `hidden beast` number, since 1 + 4 + 512 + 18 + 2 + 9 + 120 = 666.

145121829120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145121829109) and next prime (145121829131).

It can be written as a sum of positive squares in 2 ways, for example, as 83276107776 + 61845721344 = 288576^2 + 248688^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 596175 + ... + 803534.

It is an arithmetic number, because the mean of its divisors is an integer number (2884848967).

Almost surely, 2^145121829120 is an apocalyptic number.

145121829120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145121829120 is an abundant number, since it is smaller than the sum of its proper divisors (374150984940).

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

145121829120 is an equidigital number, since it uses as much as digits as its factorization.

145121829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399742 (or 1399719 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 145121829120 in words is "one hundred forty-five billion, one hundred twenty-one million, eight hundred twenty-nine thousand, one hundred twenty".