151735136436 has 288 divisors, whose sum is σ = 442344672000. Its totient is φ = 44906254848.

The previous prime is 151735136393. The next prime is 151735136461. The reversal of 151735136436 is 634631537151.

151735136436 is a `hidden beast` number, since 1 + 5 + 1 + 73 + 513 + 64 + 3 + 6 = 666.

151735136436 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 151735136391 and 151735136400.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 232365886 + ... + 232366538.

It is an arithmetic number, because the mean of its divisors is an integer number (1535919000).

Almost surely, 2^151735136436 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 151735136436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221172336000).

151735136436 is an abundant number, since it is smaller than the sum of its proper divisors (290609535564).

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

151735136436 is a wasteful number, since it uses less digits than its factorization.

151735136436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 151735136436 in words is "one hundred fifty-one billion, seven hundred thirty-five million, one hundred thirty-six thousand, four hundred thirty-six".