157734512640 has 576 divisors, whose sum is σ = 570706456320. Its totient is φ = 40255488000.

The previous prime is 157734512629. The next prime is 157734512641. The reversal of 157734512640 is 46215437751.

157734512640 is a `hidden beast` number, since 1 + 5 + 7 + 73 + 4 + 512 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×157734512640³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (157734512641) 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, 210032265 + ... + 210033015.

It is an arithmetic number, because the mean of its divisors is an integer number (990809820).

Almost surely, 2^157734512640 is an apocalyptic number.

157734512640 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 157734512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285353228160).

157734512640 is an abundant number, since it is smaller than the sum of its proper divisors (412971943680).

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

157734512640 is a wasteful number, since it uses less digits than its factorization.

157734512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 157734512640 in words is "one hundred fifty-seven billion, seven hundred thirty-four million, five hundred twelve thousand, six hundred forty".