151530401 has 32 divisors (see below), whose sum is σ = 180838656. Its totient is φ = 125440000.

The previous prime is 151530391. The next prime is 151530427. The reversal of 151530401 is 104035151.

It is a 3-Lehmer number, since φ(151530401) divides (151530401-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 151530401 - 2²² = 147336097 is a prime.

It is a super-2 number, since 2×151530401² = 45922924854441602, which contains 22 as substring.

It is a deceptive number, since it divides R_151530400.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151530461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340921 + ... + 1341033.

It is an arithmetic number, because the mean of its divisors is an integer number (5651208).

It is a Poulet number, since it divides 2^151530400-1.

Almost surely, 2^151530401 is an apocalyptic number.

151530401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

151530401 is a deficient number, since it is larger than the sum of its proper divisors (29308255).

151530401 is a wasteful number, since it uses less digits than its factorization.

151530401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 151530401 is about 12309.7685193508. The cubic root of 151530401 is about 533.1301668436.

Adding to 151530401 its reverse (104035151), we get a palindrome (255565552).

The spelling of 151530401 in words is "one hundred fifty-one million, five hundred thirty thousand, four hundred one".