157407008214100 has 36 divisors (see below), whose sum is σ = 361665749465244. Its totient is φ = 59259108974080.

The previous prime is 157407008214059. The next prime is 157407008214101. The reversal of 157407008214100 is 1412800704751.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5558664413124 + 151848343800976 = 2357682^2 + 12322676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157407008214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46296177187 + ... + 46296180586.

It is an arithmetic number, because the mean of its divisors is an integer number (10046270818479).

Almost surely, 2^{157407008214100} is an apocalyptic number.

157407008214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157407008214100 is an abundant number, since it is smaller than the sum of its proper divisors (204258741251144).

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

157407008214100 is a wasteful number, since it uses less digits than its factorization.

157407008214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92592357804 (or 92592357797 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

Adding to 157407008214100 its reverse (1412800704751), we get a palindrome (158819808918851).

The spelling of 157407008214100 in words is "one hundred fifty-seven trillion, four hundred seven billion, eight million, two hundred fourteen thousand, one hundred".