151813201 has 16 divisors (see below), whose sum is σ = 159896016. Its totient is φ = 144000000.

The previous prime is 151813199. The next prime is 151813219. The reversal of 151813201 is 102318151.

It can be written as a sum of positive squares in 8 ways, for example, as 1628176 + 150185025 = 1276^2 + 12255^2 .

It is a 3-Lehmer number, since φ(151813201) divides (151813201-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 151813201 - 2¹ = 151813199 is a prime.

It is a deceptive number, since it divides R_151813200.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151813261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252301 + ... + 252901.

It is an arithmetic number, because the mean of its divisors is an integer number (9993501).

It is a Poulet number, since it divides 2^151813200-1.

Almost surely, 2^151813201 is an apocalyptic number.

151813201 is the 6161-st decagonal number.

It is an amenable number.

151813201 is a deficient number, since it is larger than the sum of its proper divisors (8082815).

151813201 is a wasteful number, since it uses less digits than its factorization.

151813201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 151813201 is about 12321.2499771736. The cubic root of 151813201 is about 533.4616196174.

The spelling of 151813201 in words is "one hundred fifty-one million, eight hundred thirteen thousand, two hundred one".