157485384000 has 1344 divisors, whose sum is σ = 681233559552. Its totient is φ = 35271936000.

The previous prime is 157485383983. The next prime is 157485384061. The reversal of 157485384000 is 483584751.

157485384000 is a `hidden beast` number, since 1 + 5 + 74 + 8 + 538 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966167919 + ... + 966168081.

It is an arithmetic number, because the mean of its divisors is an integer number (506870208).

Almost surely, 2^157485384000 is an apocalyptic number.

157485384000 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 157485384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340616779776).

157485384000 is an abundant number, since it is smaller than the sum of its proper divisors (523748175552).

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

157485384000 is an equidigital number, since it uses as much as digits as its factorization.

157485384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 157485384000 in words is "one hundred fifty-seven billion, four hundred eighty-five million, three hundred eighty-four thousand".