151753161420 has 720 divisors, whose sum is σ = 583562726208. Its totient is φ = 32316641280.

The previous prime is 151753161409. The next prime is 151753161421. The reversal of 151753161420 is 24161357151.

151753161420 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 5 + 31 + 614 + 2 + 0 = 666.

151753161420 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 (36).

It is not an unprimeable number, because it can be changed into a prime (151753161421) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 245952952 + ... + 245953568.

Almost surely, 2^151753161420 is an apocalyptic number.

151753161420 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 151753161420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291781363104).

151753161420 is an abundant number, since it is smaller than the sum of its proper divisors (431809564788).

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

151753161420 is a wasteful number, since it uses less digits than its factorization.

151753161420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 151753161420 in words is "one hundred fifty-one billion, seven hundred fifty-three million, one hundred sixty-one thousand, four hundred twenty".