1537445952 has 504 divisors, whose sum is σ = 5601248640. Its totient is φ = 400619520.

The previous prime is 1537445929. The next prime is 1537445957. The reversal of 1537445952 is 2595447351.

1537445952 is a `hidden beast` number, since 1 + 53 + 7 + 4 + 4 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 1537445898 and 1537445907.

It is not an unprimeable number, because it can be changed into a prime (1537445957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25204002 + ... + 25204062.

Almost surely, 2^1537445952 is an apocalyptic number.

1537445952 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 1537445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800624320).

1537445952 is an abundant number, since it is smaller than the sum of its proper divisors (4063802688).

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

1537445952 is a wasteful number, since it uses less digits than its factorization.

1537445952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 1537445952 is about 39210.2786524146. The cubic root of 1537445952 is about 1154.1615954133.

The spelling of 1537445952 in words is "one billion, five hundred thirty-seven million, four hundred forty-five thousand, nine hundred fifty-two".