157737132000 has 1152 divisors, whose sum is σ = 673122078720. Its totient is φ = 35533209600.

The previous prime is 157737131989. The next prime is 157737132001. The reversal of 157737132000 is 231737751.

157737132000 is a `hidden beast` number, since 15 + 77 + 371 + 3 + 200 + 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 (157737132001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 659987881 + ... + 659988119.

It is an arithmetic number, because the mean of its divisors is an integer number (584307360).

Almost surely, 2^157737132000 is an apocalyptic number.

157737132000 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 157737132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336561039360).

157737132000 is an abundant number, since it is smaller than the sum of its proper divisors (515384946720).

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

157737132000 is an equidigital number, since it uses as much as digits as its factorization.

157737132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

Adding to 157737132000 its reverse (231737751), we get a palindrome (157968869751).

The spelling of 157737132000 in words is "one hundred fifty-seven billion, seven hundred thirty-seven million, one hundred thirty-two thousand".