1137485289024 has 336 divisors, whose sum is σ = 3858157180800. Its totient is φ = 313504063488.

The previous prime is 1137485288999. The next prime is 1137485289037. The reversal of 1137485289024 is 4209825847311.

1137485289024 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 4 + 8 + 528 + 90 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150716419 + ... + 150723965.

Almost surely, 2^{1137485289024} is an apocalyptic number.

1137485289024 is a gapful number since it is divisible by the number (14) 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 1137485289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929078590400).

1137485289024 is an abundant number, since it is smaller than the sum of its proper divisors (2720671891776).

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

1137485289024 is a wasteful number, since it uses less digits than its factorization.

1137485289024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1137485289024 in words is "one trillion, one hundred thirty-seven billion, four hundred eighty-five million, two hundred eighty-nine thousand, twenty-four".