151526401 has 8 divisors (see below), whose sum is σ = 163625000. Its totient is φ = 139491072.

The previous prime is 151526399. The next prime is 151526411. The reversal of 151526401 is 104625151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12852225 + 138674176 = 3585^2 + 11776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 151526401 - 2¹ = 151526399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151526411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10776 + ... + 20473.

It is an arithmetic number, because the mean of its divisors is an integer number (20453125).

Almost surely, 2^151526401 is an apocalyptic number.

It is an amenable number.

151526401 is a deficient number, since it is larger than the sum of its proper divisors (12098599).

151526401 is a wasteful number, since it uses less digits than its factorization.

151526401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31635.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 151526401 is about 12309.6060456864. The cubic root of 151526401 is about 533.1254757290.

The spelling of 151526401 in words is "one hundred fifty-one million, five hundred twenty-six thousand, four hundred one".