151554601601 has 24 divisors (see below), whose sum is σ = 173835806760. Its totient is φ = 131317231104.

The previous prime is 151554601591. The next prime is 151554601603. The reversal of 151554601601 is 106106455151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13169857600 + 138384744001 = 114760^2 + 372001^2 .

It is not a de Polignac number, because 151554601601 - 2¹⁰ = 151554600577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151554601603) 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 23 ways as a sum of consecutive naturals, for example, 363401 + ... + 659673.

It is an arithmetic number, because the mean of its divisors is an integer number (7243158615).

Almost surely, 2^151554601601 is an apocalyptic number.

It is an amenable number.

151554601601 is a deficient number, since it is larger than the sum of its proper divisors (22281205159).

151554601601 is a wasteful number, since it uses less digits than its factorization.

151554601601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296433 (or 296414 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 151554601601 in words is "one hundred fifty-one billion, five hundred fifty-four million, six hundred one thousand, six hundred one".