151829145 has 24 divisors (see below), whose sum is σ = 283415496. Its totient is φ = 74746368.

The previous prime is 151829137. The next prime is 151829179. The reversal of 151829145 is 541928151.

It can be written as a sum of positive squares in 4 ways, for example, as 6095961 + 145733184 = 2469^2 + 12072^2 .

It is not a de Polignac number, because 151829145 - 2³ = 151829137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129184 + ... + 130353.

It is an arithmetic number, because the mean of its divisors is an integer number (11808979).

Almost surely, 2^151829145 is an apocalyptic number.

151829145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151829145 is a deficient number, since it is larger than the sum of its proper divisors (131586351).

151829145 is a wasteful number, since it uses less digits than its factorization.

151829145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259561 (or 259558 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 151829145 is about 12321.8969724633. The cubic root of 151829145 is about 533.4802943533.

The spelling of 151829145 in words is "one hundred fifty-one million, eight hundred twenty-nine thousand, one hundred forty-five".