157738775040 has 1440 divisors, whose sum is σ = 702978756480. Its totient is φ = 31986155520.

The previous prime is 157738774997. The next prime is 157738775081. The reversal of 157738775040 is 40577837751.

157738775040 is a `hidden beast` number, since 1 + 57 + 7 + 3 + 87 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×157738775040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1151377852 + ... + 1151377988.

It is an arithmetic number, because the mean of its divisors is an integer number (488179692).

Almost surely, 2^157738775040 is an apocalyptic number.

157738775040 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 157738775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351489378240).

157738775040 is an abundant number, since it is smaller than the sum of its proper divisors (545239981440).

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

157738775040 is a wasteful number, since it uses less digits than its factorization.

157738775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 157738775040 in words is "one hundred fifty-seven billion, seven hundred thirty-eight million, seven hundred seventy-five thousand, forty".