151756164420 has 288 divisors, whose sum is σ = 505334712960. Its totient is φ = 33918474240.

The previous prime is 151756164419. The next prime is 151756164463. The reversal of 151756164420 is 24461657151.

151756164420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34169400 + ... + 34173840.

It is an arithmetic number, because the mean of its divisors is an integer number (1754634420).

Almost surely, 2^151756164420 is an apocalyptic number.

151756164420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151756164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252667356480).

151756164420 is an abundant number, since it is smaller than the sum of its proper divisors (353578548540).

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

151756164420 is a wasteful number, since it uses less digits than its factorization.

151756164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 151756164420 in words is "one hundred fifty-one billion, seven hundred fifty-six million, one hundred sixty-four thousand, four hundred twenty".