151603104006 has 128 divisors (see below), whose sum is σ = 347371960320. Its totient is φ = 48993638400.

The previous prime is 151603104001. The next prime is 151603104019. The reversal of 151603104006 is 600401306151.

151603104006 is a `hidden beast` number, since 1 + 5 + 1 + 603 + 10 + 40 + 0 + 6 = 666.

It is a super-2 number, since 2×151603104006² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151603104001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62105746 + ... + 62108186.

It is an arithmetic number, because the mean of its divisors is an integer number (2713843440).

Almost surely, 2^151603104006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151603104006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173685980160).

151603104006 is an abundant number, since it is smaller than the sum of its proper divisors (195768856314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151603104006 is a wasteful number, since it uses less digits than its factorization.

151603104006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 151603104006 in words is "one hundred fifty-one billion, six hundred three million, one hundred four thousand, six".