157621434300 has 288 divisors, whose sum is σ = 553349583360. Its totient is φ = 38172556800.

The previous prime is 157621434281. The next prime is 157621434301. The reversal of 157621434300 is 3434126751.

157621434300 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 214 + 3 + 430 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157621434301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38697064 + ... + 38701136.

It is an arithmetic number, because the mean of its divisors is an integer number (1921352720).

Almost surely, 2^157621434300 is an apocalyptic number.

157621434300 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 157621434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276674791680).

157621434300 is an abundant number, since it is smaller than the sum of its proper divisors (395728149060).

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

157621434300 is a wasteful number, since it uses less digits than its factorization.

157621434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 157621434300 in words is "one hundred fifty-seven billion, six hundred twenty-one million, four hundred thirty-four thousand, three hundred".