137355264001 has 4 divisors (see below), whose sum is σ = 138230138452. Its totient is φ = 136480389552.

The previous prime is 137355263959. The next prime is 137355264049. The reversal of 137355264001 is 100462553731.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 99641235600 + 37714028401 = 315660^2 + 194201^2 .

It is a cyclic number.

It is not a de Polignac number, because 137355264001 - 2²¹ = 137353166849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137355264401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 437436990 + ... + 437437303.

It is an arithmetic number, because the mean of its divisors is an integer number (34557534613).

Almost surely, 2^137355264001 is an apocalyptic number.

It is an amenable number.

137355264001 is a deficient number, since it is larger than the sum of its proper divisors (874874451).

137355264001 is an equidigital number, since it uses as much as digits as its factorization.

137355264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874874450.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 137355264001 in words is "one hundred thirty-seven billion, three hundred fifty-five million, two hundred sixty-four thousand, one".