157181666400 has 360 divisors, whose sum is σ = 625323898584. Its totient is φ = 38104473600.

The previous prime is 157181666399. The next prime is 157181666417. The reversal of 157181666400 is 4666181751.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 602544 + ... + 823056.

Almost surely, 2^157181666400 is an apocalyptic number.

157181666400 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 157181666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312661949292).

157181666400 is an abundant number, since it is smaller than the sum of its proper divisors (468142232184).

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

157181666400 is a wasteful number, since it uses less digits than its factorization.

157181666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220556 (or 220534 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 157181666400 in words is "one hundred fifty-seven billion, one hundred eighty-one million, six hundred sixty-six thousand, four hundred".