137572743168 has 1152 divisors, whose sum is σ = 525447336960. Its totient is φ = 35035545600.

The previous prime is 137572743103. The next prime is 137572743199. The reversal of 137572743168 is 861347275731.

137572743168 is a `hidden beast` number, since 1 + 3 + 7 + 57 + 274 + 316 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362106318 + ... + 1362106418.

It is an arithmetic number, because the mean of its divisors is an integer number (456117480).

Almost surely, 2^137572743168 is an apocalyptic number.

137572743168 is a gapful number since it is divisible by the number (18) 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 137572743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723668480).

137572743168 is an abundant number, since it is smaller than the sum of its proper divisors (387874593792).

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

137572743168 is a wasteful number, since it uses less digits than its factorization.

137572743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 137572743168 in words is "one hundred thirty-seven billion, five hundred seventy-two million, seven hundred forty-three thousand, one hundred sixty-eight".