180154037487061 has 64 divisors (see below), whose sum is σ = 204407409173760. Its totient is φ = 157277562624000.

The previous prime is 180154037487019. The next prime is 180154037487071. The reversal of 180154037487061 is 160784730451081.

It is a happy number.

180154037487061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 6-Lehmer number, since φ(180154037487061) divides (180154037487061-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 180154037487061 - 2⁷ = 180154037486933 is a prime.

It is a deceptive number, since it divides R_{180154037487060}.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180154037486993 and 180154037487011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180154037487071) 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, 71461338481 + ... + 71461341001.

It is an arithmetic number, because the mean of its divisors is an integer number (3193865768340).

It is a Poulet number, since it divides 2^{180154037487060}-1.

Almost surely, 2^{180154037487061} is an apocalyptic number.

180154037487061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

180154037487061 is the 7174440-th centered heptagonal number.

It is an amenable number.

180154037487061 is a deficient number, since it is larger than the sum of its proper divisors (24253371686699).

180154037487061 is a wasteful number, since it uses less digits than its factorization.

180154037487061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406.

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 180154037487061 in words is "one hundred eighty trillion, one hundred fifty-four billion, thirty-seven million, four hundred eighty-seven thousand, sixty-one".