157746937152 has 168 divisors, whose sum is σ = 497357521920. Its totient is φ = 43971164160.

The previous prime is 157746937151. The next prime is 157746937157. The reversal of 157746937152 is 251739647751.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×157746937152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157746937092 and 157746937101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157746937151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181249 + ... + 590207.

It is an arithmetic number, because the mean of its divisors is an integer number (2960461440).

Almost surely, 2^157746937152 is an apocalyptic number.

157746937152 is a gapful number since it is divisible by the number (12) 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 157746937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248678760960).

157746937152 is an abundant number, since it is smaller than the sum of its proper divisors (339610584768).

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

157746937152 is a wasteful number, since it uses less digits than its factorization.

157746937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409029 (or 409012 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The spelling of 157746937152 in words is "one hundred fifty-seven billion, seven hundred forty-six million, nine hundred thirty-seven thousand, one hundred fifty-two".