157469507242200 has 288 divisors, whose sum is σ = 540728573299200. Its totient is φ = 41057794702080.

The previous prime is 157469507242183. The next prime is 157469507242231. The reversal of 157469507242200 is 2242705964751.

It is a happy number.

157469507242200 is a `hidden beast` number, since 1 + 5 + 7 + 469 + 50 + 72 + 42 + 20 + 0 = 666.

157469507242200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157469507242200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9270967 + ... + 20022233.

It is an arithmetic number, because the mean of its divisors is an integer number (1877529768400).

Almost surely, 2^{157469507242200} is an apocalyptic number.

157469507242200 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 157469507242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270364286649600).

157469507242200 is an abundant number, since it is smaller than the sum of its proper divisors (383259066057000).

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

157469507242200 is a wasteful number, since it uses less digits than its factorization.

157469507242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10751471 (or 10751459 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 157469507242200 in words is "one hundred fifty-seven trillion, four hundred sixty-nine billion, five hundred seven million, two hundred forty-two thousand, two hundred".