157426848000 has 1152 divisors, whose sum is σ = 616810521600. Its totient is φ = 39481344000.

The previous prime is 157426847959. The next prime is 157426848017. The reversal of 157426848000 is 848624751.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1528415949 + ... + 1528416051.

It is an arithmetic number, because the mean of its divisors is an integer number (535425800).

Almost surely, 2^157426848000 is an apocalyptic number.

157426848000 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 157426848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308405260800).

157426848000 is an abundant number, since it is smaller than the sum of its proper divisors (459383673600).

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

157426848000 is a wasteful number, since it uses less digits than its factorization.

157426848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 157426848000 in words is "one hundred fifty-seven billion, four hundred twenty-six million, eight hundred forty-eight thousand".