151114401 has 12 divisors (see below), whose sum is σ = 224176212. Its totient is φ = 98019936.

The previous prime is 151114361. The next prime is 151114463. The reversal of 151114401 is 104411151.

151114401 is a `hidden beast` number, since 151 + 114 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122213025 + 28901376 = 11055^2 + 5376^2 .

It is not a de Polignac number, because 151114401 - 2¹³ = 151106209 is a prime.

It is a super-3 number, since 3×151114401³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (151119401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226566 + ... + 227231.

It is an arithmetic number, because the mean of its divisors is an integer number (18681351).

Almost surely, 2^151114401 is an apocalyptic number.

It is an amenable number.

151114401 is a deficient number, since it is larger than the sum of its proper divisors (73061811).

151114401 is a wasteful number, since it uses less digits than its factorization.

151114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453840 (or 453837 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151114401 is about 12292.8597567856. The cubic root of 151114401 is about 532.6418480802.

Adding to 151114401 its reverse (104411151), we get a palindrome (255525552).

The spelling of 151114401 in words is "one hundred fifty-one million, one hundred fourteen thousand, four hundred one".