151403354676 has 144 divisors (see below), whose sum is σ = 439288012800. Its totient is φ = 43070561856.

The previous prime is 151403354671. The next prime is 151403354681. The reversal of 151403354676 is 676453304151.

151403354676 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 0 + 33 + 546 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (151403354671) and next prime (151403354681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151403354671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105213565 + ... + 105215003.

It is an arithmetic number, because the mean of its divisors is an integer number (3050611200).

Almost surely, 2^151403354676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151403354676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219644006400).

151403354676 is an abundant number, since it is smaller than the sum of its proper divisors (287884658124).

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

151403354676 is a wasteful number, since it uses less digits than its factorization.

151403354676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 151403354676 in words is "one hundred fifty-one billion, four hundred three million, three hundred fifty-four thousand, six hundred seventy-six".