120145031541 has 32 divisors (see below), whose sum is σ = 181423923840. Its totient is φ = 78560064000.

The previous prime is 120145031459. The next prime is 120145031561. The reversal of 120145031541 is 145130541021.

120145031541 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 503 + 154 + 1 = 666.

It is not a de Polignac number, because 120145031541 - 2¹⁴ = 120145015157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120145031561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478066 + ... + 684716.

It is an arithmetic number, because the mean of its divisors is an integer number (5669497620).

Almost surely, 2^120145031541 is an apocalyptic number.

It is an amenable number.

120145031541 is a deficient number, since it is larger than the sum of its proper divisors (61278892299).

120145031541 is a wasteful number, since it uses less digits than its factorization.

120145031541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207074 (or 207068 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 120145031541 its reverse (145130541021), we get a palindrome (265275572562).

The spelling of 120145031541 in words is "one hundred twenty billion, one hundred forty-five million, thirty-one thousand, five hundred forty-one".