157093020 has 180 divisors, whose sum is σ = 573554520. Its totient is φ = 35888832.

The previous prime is 157092997. The next prime is 157093037. The reversal of 157093020 is 20390751.

157093020 is a `hidden beast` number, since 1 + 570 + 93 + 0 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78391 + ... + 80369.

It is an arithmetic number, because the mean of its divisors is an integer number (3186414).

Almost surely, 2^157093020 is an apocalyptic number.

157093020 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 157093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286777260).

157093020 is an abundant number, since it is smaller than the sum of its proper divisors (416461500).

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

157093020 is a wasteful number, since it uses less digits than its factorization.

157093020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 157093020 is about 12533.6754385934. The cubic root of 157093020 is about 539.5755924545.

The spelling of 157093020 in words is "one hundred fifty-seven million, ninety-three thousand, twenty".