157214448000 has 384 divisors, whose sum is σ = 572585682240. Its totient is φ = 41330688000.

The previous prime is 157214447987. The next prime is 157214448007. The reversal of 157214448000 is 844412751.

It is a happy number.

157214448000 is a `hidden beast` number, since 1 + 572 + 1 + 4 + 4 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (157214448007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10216312 + ... + 10231688.

Almost surely, 2^157214448000 is an apocalyptic number.

157214448000 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 157214448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286292841120).

157214448000 is an abundant number, since it is smaller than the sum of its proper divisors (415371234240).

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

157214448000 is a wasteful number, since it uses less digits than its factorization.

157214448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 157214448000 in words is "one hundred fifty-seven billion, two hundred fourteen million, four hundred forty-eight thousand".