157135420 has 96 divisors (see below), whose sum is σ = 382209408. Its totient is φ = 53747712.

The previous prime is 157135397. The next prime is 157135421. The reversal of 157135420 is 24531751.

It is a happy number.

157135420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

157135420 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157135421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322417 + ... + 322903.

It is an arithmetic number, because the mean of its divisors is an integer number (3981348).

Almost surely, 2^157135420 is an apocalyptic number.

157135420 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 157135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191104704).

157135420 is an abundant number, since it is smaller than the sum of its proper divisors (225073988).

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

157135420 is a wasteful number, since it uses less digits than its factorization.

157135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 157135420 is about 12535.3667676698. The cubic root of 157135420 is about 539.6241325851.

The spelling of 157135420 in words is "one hundred fifty-seven million, one hundred thirty-five thousand, four hundred twenty".