150106257 has 48 divisors (see below), whose sum is σ = 269988480. Its totient is φ = 82029024.

The previous prime is 150106237. The next prime is 150106261. The reversal of 150106257 is 752601051.

It is not a de Polignac number, because 150106257 - 2¹⁸ = 149844113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150106257.

It is not an unprimeable number, because it can be changed into a prime (150106237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27963 + ... + 32895.

It is an arithmetic number, because the mean of its divisors is an integer number (5624760).

Almost surely, 2^150106257 is an apocalyptic number.

It is an amenable number.

150106257 is a deficient number, since it is larger than the sum of its proper divisors (119882223).

150106257 is a wasteful number, since it uses less digits than its factorization.

150106257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 150106257 is about 12251.7858698232. The cubic root of 150106257 is about 531.4547159911.

The spelling of 150106257 in words is "one hundred fifty million, one hundred six thousand, two hundred fifty-seven".